Question

Solve

$x+3y=9$

$2x-y=-3$

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

Answer 1

The correct option is C $(0,3)$

Given equations

$x+3y=9\cdots \left(1\right)$

$2x-y=-3\cdots \left(2\right)$

Multiplying $\left(2\right)$ with $3$

$⟹6x-3y=-9\cdots \left(3\right)$

Adding $\left(1\right)$ and $\left(3\right)$

$⟹x+3y+6x-3y=9-9$

$⟹7x=0$

$x=0$

Put it in $\left(1\right)$

$⟹0+3y=9$

$3y=9$

$y=\frac{9}{3}=3$