Question

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

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

Answer 1

The correct option is B (2, -2)

Subtract equation 1 and 2,
$2x+y=2$ ----- (1)
$x-y=4$ ----- (2)
___________
$3x=6$
$x=\frac{6}{3}=2$
Put the value of $x$ in equation (1), we get
$2x+y=2$
$2\left(2\right)+y=2$
$4+y=2$
$y=2-4$
$y=-2$
Therefore the solution is (2, -2)