SOLUTION: I need to help using the substitution method for 9x+4y=-32 x=1-5y any help would be great

Question 198335: I need to help using the substitution method for
9x+4y=-32
x=1-5y
any help would be great
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the first equation.

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

Subtract 9 from both sides

Combine like terms on the right side

Divide both sides by -41 to isolate y

Divide

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

Start with the second equation

Plug in

Multiply

Subtract

So our answers are and which form the ordered pair

Notice if we graph the two equations, we can see that their intersection is at

. So this verifies our answer.

Graph of (red) and (green)

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