SOLUTION: Find the solution to the following system of linear equations: 3x + 4y = -8 and y = -5x

SOLUTION: Find the solution to the following system of linear equations: 3x + 4y = -8 and y = -5x - 7 Thank you

Question 164973: Find the solution to the following system of linear equations:

3x + 4y = -8 and
y = -5x - 7
Thank you
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.

Distribute

Combine like terms on the left side

Add 28 to both sides

Combine like terms on the right side

Divide both sides by -17 to isolate x

Reduce

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

Move onto the second equation

Plug in

Multiply.

Combine like terms.

So our answer is and which forms the ordered pair

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