Answer
The solution is $(0,2)$.
Work Step by Step
The given system of equations is
$\Rightarrow 11x-7y=-14$ ...... (1)
$\Rightarrow x-2y=-4$ ...... (2)
Isolate $x$ in equation (2).
$\Rightarrow x=-4+2y$ ...... (3)
Substitute $-4+2y$ for $x$ in equation (1).
$\Rightarrow 11(-4+2y)-7y=-14$
Use distributive property.
$\Rightarrow -44+22y-7y=-14$
Add like terms.
$\Rightarrow -44+15y=-14$
Add $44$ to each side.
$\Rightarrow -44+15y+44=-14+44$
Simplify.
$\Rightarrow 15y=30$
Divide each side by $15$.
$\Rightarrow \frac{15y}{15}=\frac{30}{15}$
Simplify.
$\Rightarrow y=2$
Substitute $2$ for $y$ in equation (3).
$\Rightarrow x=-4+2(2)$
Simplify.
$\Rightarrow x=-4+4$
$\Rightarrow x=0$
Check
Equation (1)
$\Rightarrow 11x-7y=-14$
$\Rightarrow 11(0)-7(2)=-14$
$\Rightarrow 0-14=-14$
$\Rightarrow -14=-14$
True.
Check
Equation (2)
$\Rightarrow x-2y=-4$
$\Rightarrow 0-2(2)=-4$
$\Rightarrow -4=-4$
True.
Hence, the solution is $(0,2)$.
