Question

Using substitution method find the value of x and y:
$2x-3y=2$ and $5x-6y=2$

• A. -4 and -1
• B. -2 and 10
• C. -2 and -11
• D. -2 and -2

Answer 1

The correct option is D -2 and -2

$2x-3y=2$ ------- (1)
$5x-6y=2$------ (2)
From equation 1:
$2x-2=3y$
$y=\frac{2x-2}{3}$
Substitute the value of y in equation 2:
$5x-6y=2$
$5x-6\left(\frac{2x-2}{3}\right)=2$
$5x-2(2x-2)=2$
$5x-4x+4=2$
$x=2-4$
$x=-2$
Now, Substitute $x=-2$ in equation 1:
$5x-6y=2$
$5(-2)-6y=2$
$-10-2=6y$
$6y=-12$
$y=\frac{-12}{6}=-2$
Therefore the solution is: $x=-2$ and $y=-2$