Question 226054
{{{x+5y=-3}}}
{{{3x-2y=8}}}
The first equation is easiest to get a variable by itself, so move the 5y to the other side bu subtracting it from both:
{{{x=-3-5y}}}
Then we can plug this into the second equation for x:
{{{3(-3-5y)-2y=8}}}
Distribute the 3:
{{{-9-15y-2y=8}}}
Combine like terms:
{{{-9-17y=8}}}
Move the -9 to the other side by adding it:
{{{-17y=17}}}
Divide both sides by -17:
{{{y=-1}}}
We can plug this back in to get x:
{{{x=-3-5(-1)}}}
{{{x=-3+5}}}
{{{x=2}}}
So, the answer is (2,-1). It has only one solution as the lines cross at that point.