The system of equations x + y+ z = 6, 2 x + y +z = 7, x + 2 y +z=8 has a. A unique solution b. No solution c. An infinite number of solutions d. None of these
A unique solution

1 Answer

Answer :

X=1

Y=2

Z=3

Related questions

Description : If the system of equations `x-k y-z=0, k x-y-z=0,x+y-z=0` has a nonzero solution, then the possible value of `k` are `-1,2` b. `1,2` c. `0,1` d. `-1,1

Last Answer : If the system of equations `x-k y-z=0, k x-y-z=0,x+y-z=0` has a nonzero solution, then the possible value of `k` ... 1,2` B. `1,2` C. `0,1` D. `-1,1`

Description : The system of equations `alphax+y+z=alpha-1, x+alphay+z=alpha-1, x+y+alphaz=alpha-1` has no solution if alpha is (A) 1 (B) not -2 (C) either -2 or 1 (

Last Answer : The system of equations `alphax+y+z=alpha-1, x+alphay+z=alpha-1, x+y+alphaz=alpha-1` has no solution if alpha is ... 2 B. 1 C. `-2` D. Either - 2 or 1

Description : In the following equations , find which of the variables x, y, z etc. represent rational numbers and which represent irrational numbers -Maths 9th

Last Answer : Following are the rational numbers which represent irrational numbers .

Description : In the following equations , find which of the variables x, y, z etc. represent rational numbers and which represent irrational numbers -Maths 9th

Last Answer : Following are the rational numbers which represent irrational numbers .

Description : Gauss' law of electricity, Gauss' law of magnetism, Faraday's law of induction, and Amperes' law form the basic equations of electromagnetism. This combination is collectively known as: w) Coulomb's equations x) Volta's equations y) Fermi's equations z) Maxwell's equations

Last Answer : ANSWER: Z -- MAXWELL'S EQUATIONS

Description : The four underlying equations in electromagnetic theory are called: w) Einstein's Equations x) Maxwell's Equations y) Newton's Equations z) Faraday's Law

Last Answer : ANSWER: X -- MAXWELL'S EQUATIONS

Description : What is the angle between the lines whose equations are: 3x + y – 7 = 0 and x + 2y + 9 = 0. -Maths 9th

Last Answer : (c) (8, 6)Let AB be the given line 4x + 3y = 25 Let O′(a, b) be the image of O in the given line AB. Let O O′ cut AB in point P. Also OP ⊥ AB and P is the mid-point of OO′. ∴ Co-ordinates of P are \(\bigg( ... 4 imes6}{3}\) = 8∴ The image of the point O(0, 0) in the line 4x + 3y - 25 = 0 is (8, 6).

Description : Express the equations 2x-y + 6 =0 and 6x + y + 8 = 0, in the matrix equation form.

Last Answer : Express the equations 2x-y + 6 =0 and 6x + y + 8 = 0, in the matrix equation form.

Description : Three pipes P, Q and R can fill a tank from empty to full in 40 minutes, 15 minutes, and 30 minutes respectively. When the tank is empty, all the three pipes are opened. P, Q and R discharge chemical solutions X, Y and Z respectively. ... 5 minutes? a) 8 / 15 b) 7 / 15 c) 8 / 17 d) 6 / 13 e) 8 / 13

Last Answer : a Part of the tank filled by pipe P in 1 minute = 1 / 40 Part of the tank filled by pipe Q in 1 minute = 1 / 15 Part of the tank filled by pipe R in 1 minute = 1/ 30 Here we have to find the proportion of ... together in 5 minute = 5 1/8 = 5/ 8 Required proportion = (1/3) / ( 5/8) = 8 / 15

Description : The most powerful earthquake ever recorded in North America had a Richter scale magnitude closest to w) 6.5 x) 7.5 y) 8.5 z) 9.5

Last Answer : ANSWER: Y -- 8.5

Description : How many water molecules are contained in Cobalt (II) sulfate heptahydrate? w) 3 x) 6 y) 8 z) 7

Last Answer : ANSWER: D -- 7

Description : X, Yand Z enter into a partnership by investing in the ratio of 6 : 4: 8. After 1 year, Y invests another Rs. 540,000 and Z, at the end of 2 years, also invests Rs.540,000. At the end of three years, profit is ... 10. Find initial investment of Z. A) 7,20,000 B) 8,80,000 C) 6,50,000 D) 5,50,000. 

Last Answer : Answer: A) Let the initial investments of X, Yand Z be Rs. 6x, Rs. 4x and Rs. 8x respectively. Then, (6x * 36) : [(4x * 12) + (4x + 540000) x 24] : [(8x * 24) + (8x +540000) x 12]=6:8:10 ... =3/4 => 864x = 432x + 38880000 => 432x = 19440000 x=90000 Z's initial investment = 8x = Rs. 7,20,000.

Description : X, Y, Z started a business by a share of 8:6:9. The time for which they invested was 6:7:8. The difference in the profit of X and Z is what % of difference in the profit of Zand Y? A) 65  B) 80 C) 55 D) 75

Last Answer : Answer: B)  Ratio of investment =8:6:9  Ratio of time =6:7:8  Ratio of X,Y,Z=48:42:72  =8:7:12  (X-Z)/(Z-Y) = 4/5 *100 =80%

Description : what is the result of adding the system of equations? 2x + y = 4 3x - y = 6 -General Knowledge

Last Answer : The result of adding the system of equations 2x + y = 4, 3x - y = 6 is 5x = 10.

Description : The pair of equations y=0 and y=-7 has (a)one solution (b)two solutions (c)no solution (d)infinitely many solutions

Last Answer : (c)no solution

Description : Use the graph to solve the system of linear equations x - y=4 4x + y=1?

Last Answer : x=4+y4x+y=1 = 4(4+y)+y=116+4y+y=116+5y=15y=-15y=-3x=4+y = x=4+(-3)x=1

Description : If = = in the system of equations a 1 x + b 1 y + c 1 = 0 and a 2 x + b 2 y + c 2 = 0 Statement 1 : This is the condition for inconsistent equations Statement 2 : There exists infinitely many solutions ... statements are true ? e) S1 only f) S1 and S2 g) S1 and S3 h) S2 only Answer: (d) S2 o

Last Answer : h) S2 only

Description : If = = in the system of equations a 1 x + b 1 y + c 1 = 0 and a 2 x + b 2 y + c 2 = 0 Statement 1 : This is the condition for inconsistent equations Statement 2 : There exists infinitely many ... parallel Which of the above statements are true ? a) S1 only b) S1 and S2 c) S1 and S3 d) S2 only

Last Answer : d) S2 only

Description : A student wrote the equations of the lines a and b drawn in the following graph as y =1 and 2x + 3y =6. Is he right? -Maths 9th

Last Answer : Clearly, line a is parallel to X-axis at a distance of 1 unit in positive direction of Y-axis, therefore its equation is y = 1. Also, if we draw the graph of line 2x + 3y = 6, then its graph should intersect X - axis at (3,0 ... Base Height = 1/2 BC AC = 1/2 1 3 / 2 = 3 / 4 sq unit.

Description : A student wrote the equations of the lines a and b drawn in the following graph as y =1 and 2x + 3y =6. Is he right? -Maths 9th

Last Answer : Clearly, line a is parallel to X-axis at a distance of 1 unit in positive direction of Y-axis, therefore its equation is y = 1. Also, if we draw the graph of line 2x + 3y = 6, then its graph should intersect X - axis at (3,0 ... Base Height = 1/2 BC AC = 1/2 1 3 / 2 = 3 / 4 sq unit.

Description : For what value of k , the following system of equations have infinite solutions : kx + 4y = k-4, 16x + ky = k (a) k = 2 (b) k = 4 (c) k = 6 (d) k = 8

Last Answer : (d) k = 8

Description : For what value of k , the following system of equations have infinite solutions : kx + 4y = k-4, 16x + ky = k (a) k = 2 (b) k = 4 (c) k = 6 (d) k = 8

Last Answer : (d) k = 8

Description : How many linear equations in x and y can be satisfied by x = 1 and y = 2 ? -Maths 9th

Last Answer : (c) Let the linear equation be ax + by + c = 0. On putting x = 1 and y = 2, in above equation we get =s a + 2b + c = 0, where a, b and c, are real number Here, different values of a, b and ... a + 2b + c = 0. Hence, infinitely many linear equations in x and yean be satisfied by x = 1 and y = 2.

Description : Draw the graphs of linear equations y = x and y = – x on the same Cartesian plane. -Maths 9th

Last Answer : The given equation is y = x. To draw the graph of this equations, we need atleast two points lying on the given line. For x = 1, y = 1, therefore (1,1) satisfies the linear equation y = x. For x = 4, y = 4, ... of y = - x. We observe that, the line y = x and y = - x intersect at the point 0(0, 0).

Description : How many linear equations in x and y can be satisfied by x = 1 and y = 2 ? -Maths 9th

Last Answer : (c) Let the linear equation be ax + by + c = 0. On putting x = 1 and y = 2, in above equation we get =s a + 2b + c = 0, where a, b and c, are real number Here, different values of a, b and ... a + 2b + c = 0. Hence, infinitely many linear equations in x and yean be satisfied by x = 1 and y = 2.

Description : Draw the graphs of linear equations y = x and y = – x on the same Cartesian plane. -Maths 9th

Last Answer : The given equation is y = x. To draw the graph of this equations, we need atleast two points lying on the given line. For x = 1, y = 1, therefore (1,1) satisfies the linear equation y = x. For x = 4, y = 4, ... of y = - x. We observe that, the line y = x and y = - x intersect at the point 0(0, 0).

Description : How many linear equations satisfy x = 2 and y = -3? -Maths 9th

Last Answer : Solution :- Infinitely many equations.

Description : Draw the graph of the following equations (1) Y =3x+2 (b) Y=x -Maths 9th

Last Answer : This answer was deleted by our moderators...

Description : Solve the following equations for x and y. log100 |x+y| = 1/2, -Maths 9th

Last Answer : (b) \(\bigg(rac{10}{3},rac{20}{3}\bigg)\). (+ 10, 20) log100 |x+y| = \(rac{1}{2}\) ⇒ |x + y| = 100\(^{rac{1}{2}}\)⇒ |x + y| = 10 as (-10 is inadmissible) ...(i) log10y - log10| x | = log1004⇒ log10 ... x < 0, then x = 10.∴ If x = \(rac{10}{3}\), then y = \(rac{20}{3}\) and if x = 10, y = 20.

Description : Find a complete solution of each of the following equations: b.) y" + 2y'+ 10y = e-* sec x?

Last Answer : text[Limit - i + 1]:=tdigit[digit[i]]; % Reversing the order. next i; % Arabic numerals put the low order last. Print text," = ",n,"!" ... of arithmetic, here ten. There are many considerations. The scratchpad variable d must be able to hold the result of a single-digit

Description : Find the equations of tangent and normal to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` at `(x_1,y_1)`

Last Answer : Find the equations of tangent and normal to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` at `(x_1,y_1)`

Description : If a curve is represented parametrically by the equations `x=4t^(3)+3` and `y=4+3t^(4)` and `(d^(2)x)/(dy^(2))/((dx)/(dy))^(n)` is constant then the v

Last Answer : If a curve is represented parametrically by the equations `x=4t^(3)+3` and `y=4+3t^(4)` and `(d^(2) ... (dy))^(n)` is constant then the value of n, is

Description : For making graph of equations `|y|=|f(|x|)|` through `y=f(x)` which order of step is right among the following order of Step `I : y=f(|x|)` (replace `

Last Answer : For making graph of equations `|y|=|f(|x|)|` through `y=f(x)` which order of step is right among the following ... , `II`, `I` D. `III`, `I`, `II`

Description : Number of solution pair of equations `y=||x|-2|-2| and y=(x+2)/2`equals to

Last Answer : Number of solution pair of equations `y=||x|-2|-2| and y=(x+2)/2`equals to A. `1` B. `2` C. `3` D. `4`

Description : The equations for principal stresses are valid only when (a)σ x and σ y are both tensile (b) σ x is compressive and σ y is tensile (c) σ x is tensile and σ y is compressive (d) None

Last Answer : (a)σ x and σ y are both tensile

Description : The value of x and y which satisfy the equations : √ e) x=1,y=0 f) x=0,y=0 g) x=1,y=1 h) x=0,y=1

Last Answer : f) x=0,y=0

Description : The ratio of the areas of the two triangles formed by the lines representing the equations and 2x – y + 2 = 0 with X axis and the lines with the Y axis is (a) 1 : 2 (b) 2 : 1 (c) 4 : 1 (d) 1 : 4

Last Answer : (c) 4 : 1

Description : The pair of equations 3 x + y = 81 , 81 x – y = 3 has (a) no solution (b) unique solution (c) infinitely many solutions (d) x = 2 , y = 1

Last Answer : d) x = 2 , y = 1

Description : What is the value of x, y in the following pair of linear equations: 4x + = 15 , 6x – = 14 ? (a) 3,2 (b) -3,-2 (c) 3,-2 (d) -3,2

Last Answer : (a) 3,2

Description : The value of x and y which satisfy the equations : √ a) x=1,y=0 b) x=0,y=0 c) x=1,y=1 d) x=0,y=1

Last Answer : b) x=0,y=0

Description : . The ratio of the areas of the two triangles formed by the lines representing the equations and 2x – y + 2 = 0 with X axis and the lines with the Y axis is (a) 1 : 2 (b) 2 : 1 (c) 4 : 1 (d) 1 : 4

Last Answer : (c) 4 : 1

Description : The pair of equations 3 x + y = 81 , 81 x – y = 3 has (a) no solution (b) unique solution (c) infinitely many solutions (d) x = 2 , y = 1

Last Answer : d) x = 2 , y = 1

Description : What is the value of x, y in the following pair of linear equations: 4x + = 15 , 6x – = 14 ? (a) 3,2 (b) -3,-2 (c) 3,-2 (d) -3,2

Last Answer : (a) 3,2

Description : If (x, y) is a solution of the following pair of linear equations in two variables, then the value of expression (√ is: x + 2y = 4 and 3x - y = 5 (a) 2 (b) 3 (c) 4 (d) √2

Last Answer : (a) 2

Description : "Ravi is 10 years older than Rehan. Five years ago, one-seventh of Ravi's age was equal to one-fifth of Rehan's age." If Rehan's age be 'x' years and Ravi's age be 'y' years, which of the following pair of linear equations is ... y = 10 and 7x + 5y - 10 = 0 (d) x - y = -10 and 7y - 5x + 10 = 0

Last Answer : (b) y -x = 10 and 5y -7x + 10 = 0

Description : A pair of linear equations which has a unique solution x = 2, y = -3 is (a) x + y = -1 ; 2x – 3y = -5 (b) 2x + 5y = -11 ; 4x + 10y = -22(c) 2x – y = 1 ; 3x + 2y = 0 (d) x – 4y – 14 = 0 ;5x – y – 13 = 0

Last Answer : (d) x – 4y – 14 = 0 ;5x – y – 13 = 0

Description : The electronic configuration of three elements X, Y and Z are X-2,8; Y-2,8,7 and Z-2,8,2‘Which of the given is correct. a) X is a metal b) Y is a metal c) Zis a non-metal d) Y is a non-metal and Z is a metal

Last Answer : d) Y is a non-metal and Z is a metal

Description : Three individuals X, Y, Z hired a car on a sharing basis and paid Rs. 1,040. They used it for 7, 8, 11 hours, respectively. What are the charges paid by Y? (A) Rs. 290 (B) Rs. 320 (C) Rs. 360 (D) Rs. 440

Last Answer : Answer: B X,Y,Z used car for 26 hours i.e 7 + 8 + 11 = 26 paid 1040. Therefore, 1040/26 = 40, Y used for 8 hours i.e 40 * 8 = 320.

Description : Seats for Mathematics, Science and arts in a school are in the ratio 5:7:8. There is a proposal to increase these seats by X%, Y% and Z% respectively. And the ratio of increased seats is 2:3:4, which of the following is true? A) X = ... ; Z = 50 C) X = 40; Z = 75 D) X = 50; Z = 40 E) Y = 50; X = 75

Last Answer : Answer: C Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x) i.e., (140/100 * 5x), (150/100 * 7x) and (175/100 * 8x) i.e., 7x, 21x/2 and 14x Required ratio = 7x:21x/2: ... of 8 = 6 total seats 8+6=14 Now compare ratios of all 7:21/2:14=>14:21:28 =>2:3:4

Description : Two lines L1 and L2 having Parametric equations are P1=[3 4 7]+u[2 2 -6] and P2=[15 -2]+u[1 4 2]. Tangent vector for line L1 a.2i+2j-6k b.2i+2j+6k c.2i-2j-6k d.6-2j-2k

Last Answer : a.2i+2j-6k