Answer
The solution is $(4,-1)$.
The graph is shown below.
Work Step by Step
The given system of linear equation is
$5x+5y=15$ ...... (1)
$2x-2y=10$ ...... (2)
Graph each equation.
The intersection point is $(4,-1)$.
Check the intersection point.
Equation 1:
$\Rightarrow 5x+5y=15$
$\Rightarrow 5(4)+5(-1)=15$
$\Rightarrow 20-5=15$
$\Rightarrow 15=15$
True.
Equation 2:
$\Rightarrow 2x-2y=10$
$\Rightarrow 2(4)-2(-1)=10$
$\Rightarrow 8+2=10$
$\Rightarrow 10=10$
True.
Hence, the solution is $(4,-1)$.
