Question

Solve :
$2x-3y=2,x+2y=8$
using the method of substitution.

• A. $x=6,y=2$
• B. $x=-4,y=-2$
• C. $x=2,y=4$
• D. $x=4,y=2$

Answer 1

The correct option is D $x=4,y=2$

Given,
$2x-3y=2...\left(1\right)$
$x+2y=8...\left(2\right)$

From (2), we have,
$x=8-2y$

Substituting this value of $x$ in (1), we have,
$2(8-2y)-3y=2$
i.e., $16-4y-3y=2⟹7y=14$
$⟹y=2$

Now, $x=8-2y⟹x=8-2\left(2\right)=4$
Thus, $x=4andy=2$