Question

Solve the following pair of equations:
$2x+y=7$
$3x+2y=12$
Choose the correct answer from the given options.

• A. (-3,2)
• B. (1,0)
• C. (3,2)
• D. (2,3)

Answer 1

The correct option is D

(2,3)

We have,

$2x+y=7$ ...(1)
$3x+2y=12$...(2)

Multiply equation (1) by 2, we get:

$2(2x+y)=2\left(7\right)$
$\Rightarrow 4x+2y=14$...(3)

Subtracting (2) from (3) we get ,

$x=2$
Substituting the value of $x$ in (1) we get,
$2\left(2\right)+y=7⟹y=3$

Thus, the solution for the given pair of linear equations is (2,3).