SOLUTION: 5. solve the following systems of equations x=3y+7 x+y=-5

Question 113902: 5. solve the following systems of equations
x=3y+7
x+y=-5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system

Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.

Combine like terms on the left side

Subtract 7 from both sides

Combine like terms on the right side

Divide both sides by 4 to isolate y

Divide

Now that we know that , we can plug this into to find

Substitute for each

Simplify

So our answer is and
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