Question

Solve the equations using elimination method:
$3x+2y=7$ and $4x-3y=-2$

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

Answer 1

The correct option is D (1, 2)

$3x+2y=7$ ----- (1)
$4x-3y=-2$----- (2)
Multiply equation (1) by 3 and equation (2) by 2, then add
$9x+6y=21$
$8x-6y=-4$
______________
$17x=17$
$x=\frac{17}{17}=1$
Put the value of x in equation (1), we get
$3x+2y=7$
$3\left(1\right)+2y=7$
$2y=7-3$
$2y=4$
$y=\frac{4}{2}=2$
Therefore the solution is (1, 2)