If one of the following choices is the solution to the pair of equations $4 x + k y = 15$ and $x - k y = - 25$ , which one is it?

x = - 3

and

y = - 6

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x = - 2

and

y = 3

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x = 0

and

y = - 2

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x = 2

and

y = 3

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x = 3 and y = 5

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Solution

The correct option is E $x = - 2$ and $y = 3$
The two equations are $4 x + k y = 15$ and $x - k y = - 25$
By substituting $k y = x + 25$ in $4 x + k y = 15$ , we get
$4 x + x + 25 = 15$ , which implies
$x = - 2$ and $y$ can be any number.
Therefore, the correct answer is $x = - 2$ and $y = 3$ .

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Q. Question 10
A pair of linear equations which has a unique solution x = 2 and y = - 3 is
(A) x + y = 1 and 2x – 3y = -5
(B) 2x + 5y = - 11 and 4x + 10y = - 22
(C) 2x – y = 1 and 3x + 2y = 0
(D) x – 4y + 14 = 0 and 5x – y – 13 = 0

Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions? In case there is a unique solution, find it by using cross multiplication method.

Q. Solve the following pair of equations:

\frac{25}{x + y} - \frac{3}{x - y} = 1

and

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Q. The pairs of linear equations which have the unique solution x = 2, y = –3 are

i. x + y = –1 ; 2x + 3y = –5
ii. 2x + 5y = –11 ; 4x + 8y = –22
iii. 2x – y = 1 ; 3x + 2y = 0
iv. x – 4y –14 = 0 ; 5x – y – 13 = 0

The following pairs of linear equations 2x + 5y = 3 and 6x + 15y = 12 represent :

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If one of the following choices is the solution to the pair of equations 4x+ky=15 and x−ky=−25, which one is it?

The correct option is E x=−2 and y=3The two equations are 4x+ky=15 and x−ky=−25 By substituting ky=x+25 in 4x+ky=15, we get4x+x+25=15, which implies x=−2 and y can be any number.Therefore, the correct answer is x=−2 and y=3.

If one of the following choices is the solution to the pair of equations $4 x + k y = 15$ and $x - k y = - 25$ , which one is it?

The correct option is E $x = - 2$ and $y = 3$
The two equations are $4 x + k y = 15$ and $x - k y = - 25$
By substituting $k y = x + 25$ in $4 x + k y = 15$ , we get
$4 x + x + 25 = 15$ , which implies
$x = - 2$ and $y$ can be any number.
Therefore, the correct answer is $x = - 2$ and $y = 3$ .