SOLUTION: Please help me with this problem. Use substitution to solve each system of equation? State whether it has no solution or many solutions. x+5y=-3 3x-2y=8

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me with this problem. Use substitution to solve each system of equation? State whether it has no solution or many solutions. x+5y=-3 3x-2y=8      Log On


   

Question 226054: Please help me with this problem.
Use substitution to solve each system of equation? State whether it has no solution or many solutions.
x+5y=-3
3x-2y=8
Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B5y=-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%28-3-5y%29-2y=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%28-1%29
x=-3%2B5
x=2
So, the answer is (2,-1). It has only one solution as the lines cross at that point.