Why don't these two identical math equations equal the same thing? (See picture.)

Why don't these two identical math equations equal the same thing? (See picture.)
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1 Answer

Answer :

Once the gif started cutting the boxes into pieces, it’s all optical illusion. they changed the number of boxes in the rectangle with that little geometric magic.
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"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 describing it algebraically? (a) x - y = 10 and 7x - 5y + 10 = 0 (b) y -x = 10 and 5y -7x + 10 = 0 (c) x + y = 10 and 7x + 5y - 10 = 0 (d) x - y = -10 and 7y - 5x + 10 = 0

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

If lines corresponding to given linear equations are coincident, the solutionof the given equations is: e) Unique solution f) Two solutionsg) Infintely many solutions h) No solution

Description : If lines corresponding to given linear equations are coincident, the solutionof the given equations is: e) Unique solution f) Two solutionsg) Infintely many solutions h) No solution

Last Answer : g) Infintely many solutions

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

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

If lines corresponding to given linear equations are coincident, the solutionof the given equations is: a) Unique solution b) Two solutions c) Infintely many solutions d) No solution

Description : If lines corresponding to given linear equations are coincident, the solutionof the given equations is: a) Unique solution b) Two solutions c) Infintely many solutions d) No solution

Last Answer : c) Infintely many solutions

. 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

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

Which of the following pair of linear equations represent the two parallel tracks of the railway line? a) x-2y-4=0 and 2x + 4y - 12 = 0 c) 2x + 4y -12 = 0 and x +2y-4=0 b) x +2y-4=0 and 2x + 4y +12 = 0 d) 2x + 4y + 12 = 0 and x-2y-4=0

Description : Which of the following pair of linear equations represent the two parallel tracks of the railway line? a) x-2y-4=0 and 2x + 4y - 12 = 0 c) 2x + 4y -12 = 0 and x +2y-4=0 b) x +2y-4=0 and 2x + 4y +12 = 0 d) 2x + 4y + 12 = 0 and x-2y-4=0

Last Answer : c) 2x + 4y -12 = 0 and x +2y-4=0

Out of the following linear equations in two variables, the two representing a pair of parallel lines graphically are: 3x - 4y = 6 3x + 4y = 6 6x + 8y = 12 6x - 8y + 6 = 0 (a) 3x - 4y = 6 and 6x + 8y = 12 (b) 3x - 4y = 6 and 6x - 8y + 6 = 0 (c) 6x + 8y = 12 and 3x + 4y = 6 (d) 6x - 8y + 6 = 0 and 3x + 4y = 6

Description : Out of the following linear equations in two variables, the two representing a pair of parallel lines graphically are: 3x - 4y = 6 3x + 4y = 6 6x + 8y = 12 6x - 8y + 6 = 0 (a) 3x - 4y = 6 and 6x + 8y = 12 (b) 3x - 4y = 6 ... 6 = 0 (c) 6x + 8y = 12 and 3x + 4y = 6 (d) 6x - 8y + 6 = 0 and 3x + 4y = 6

Last Answer : (b) 3x - 4y = 6 and 6x - 8y + 6 = 0

In the following figure ABCD is a cyclic quadrilateral, the sum of degree measures of ∠A and ∠D is: (SOURCE: Fig. 3.7, Exercise 3.7, Chapter 3, PAIR of LINEAR EQUATIONS in TWO VARIABLES, NCERT, Class X) (a) 120° (b) 180° (c) 230°(d) 250°

Description : In the following figure ABCD is a cyclic quadrilateral, the sum of degree measures of ∠A and ∠D is: (SOURCE: Fig. 3.7, Exercise 3.7, Chapter 3, PAIR of LINEAR EQUATIONS in TWO VARIABLES, NCERT, Class X) (a) 120° (b) 180° (c) 230°(d) 250°

Last Answer : (c) 230°

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) √

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

The solution of the following system of linear equations in two variables is: 55x + 67y = 311; 67x + 55y = 299 (a) (2, 3) (b) (3, 2) (c) (-2,3) (d) (3, -2)

Description : The solution of the following system of linear equations in two variables is: 55x + 67y = 311; 67x + 55y = 299 (a) (2, 3) (b) (3, 2) (c) (-2,3) (d) (3, -2)

Last Answer : (b) (3, 2)

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

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

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Description : Chapter 3 Pair of Linear Equations in Two Variables

Last Answer : Chapter 3 Pair of Linear Equations in Two Variables

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Description : What are some fast ways to solve a system of 3 linear equations with this special form?

Last Answer : Perhaps an algebraic matrix ?

How do I find the amount of possible equations for a certain number?

Description : How do I find the amount of possible equations for a certain number?

Last Answer : Infinity is all the combinations

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 Statement 3 : The equations satisfying the condition are parallel Which of the above statements are true ? e) S1 only f) S1 and S2 g) S1 and S3 h) S2 only Answer: (d) S2 o

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

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

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

The value of m obtained on solving equations : 2n + m =2n – m = √ a) 1/4 b) 0 c) 1/2 d) 3/4

Description : The value of m obtained on solving equations : 2n + m =2n – m = √ a) 1/4 b) 0 c) 1/2 d) 3/4

Last Answer : b) 0

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

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

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

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

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

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

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 Statement 3 : The equations satisfying the condition are parallel Which of the above statements are true ? a) S1 only b) S1 and S2 c) S1 and S3 d) 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

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

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

The value of m obtained on solving equations : 2n + m =2n – m = √ a) 1/4 b) 0 c) 1/2 d) 3/4

Description : The value of m obtained on solving equations : 2n + m =2n – m = √ a) 1/4 b) 0 c) 1/2 d) 3/4

Last Answer : b) 0

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

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

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

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

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

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

Assertion (A):A pair of linear equations has no solution (s) if it represented by intersecting lines graphically. Reason (R) : If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations. (a) Both A and R are correct; R is the correct explanation of A. (b) Both A and R are correct; R is not the correct explanation of A. (c) A is correct; R is incorrect. (d) R is correct; A is incorrect.

Description : Assertion (A):A pair of linear equations has no solution (s) if it represented by intersecting lines graphically. Reason (R) : If the pair of lines are intersecting, then the pair has unique solution and is called ... of A. (c) A is correct; R is incorrect. (d) R is correct; A is incorrect.

Last Answer : (d) R is correct; A is incorrect.

Assertion (A) : The value of k for which the system of linear equations kx+2y+1=0 and 6x+4y-5=0 has a unique solution is 3. Reason (R):The system of linear equations a1x + b1y + c1= 0 and a2x + b2y + c2 = 0 has a unique solution if (a) Both A and R are correct; R is the correct explanation of A. (b) Both A and R are correct; R is not the correct explanation of A. (c) A is correct; R is incorrect. (d) R is correct; A is incorrect.

Description : Assertion (A) : The value of k for which the system of linear equations kx+2y+1=0 and 6x+4y-5=0 has a unique solution is 3. Reason (R):The system of linear equations a1x + b1y + c1= 0 and a2x + ... not the correct explanation of A. (c) A is correct; R is incorrect. (d) R is correct; A is incorrect.

Last Answer : (d) R is correct; A is incorrect.

The value(s) of 'k' for which the following pair of linear equations will represent a pair of intersecting lines graphically is/are: 3x - 4y + 7 = 0 kx - 8y = 5 (a) k = 6 (b) k ≠ 6(c) any real number (d) any real number except 6

Description : The value(s) of 'k' for which the following pair of linear equations will represent a pair of intersecting lines graphically is/are: 3x - 4y + 7 = 0 kx - 8y = 5 (a) k = 6 (b) k ≠ 6(c) any real number (d) any real number except 6

Last Answer : (d) any real number except 6

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

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

The pair of equations ax+by+c=0 and dx+ey+c=0 represent the equations with infinitely many solutions if (a)ad=be (b)ae=bd (c)ab=de (d)ac=de

Description : The pair of equations ax+by+c=0 and dx+ey+c=0 represent the equations with infinitely many solutions if (a)ad=be (b)ae=bd (c)ab=de (d)ac=de

Last Answer : (b)ae=bd

The pair of equations ax+2y=7 and 3x+by=16 represent parallel lines if (a)a=b (b)3a=2b (c)ab=6 (d)2a=3b

Description : The pair of equations ax+2y=7 and 3x+by=16 represent parallel lines if (a)a=b (b)3a=2b (c)ab=6 (d)2a=3b

Last Answer : (c)ab=6

One equation of a pair of dependent linear equations is -5x+7y=2 .The second equation can be (a)10x-14y-4=0 (b) -10x+14y+4=0 (c) 10x-14y-4=0 (d) -10x+14y-4=0

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Last Answer : (d) -10x+14y-4=0

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