Question

Solve the following pair of equations:
5x - 6y = -10
-4x + 2y = 4

• A. x = 0, y = 2
• B. x = 2, y = 2
• C. x = 2, y = 0
• D. x = 1, y = 2

Answer 1

The correct option is A x = 0, y = 2

We have
5x - 6y = -12----------(1)
-4x + 2y = 4----------(2)

Multiplying equation (2) by 3, we have
-12x + 6y = 12---------(3)

Adding equations (1) and (3), we get
-7x = 0
$⟹$x = 0

Putting x = 0 in equation (1), we get
6y = 12
$⟹$ y = $\frac{12}{6}$
$⟹$ y = 2

$\therefore$ The values of x and y are 0 and 2 respectively.