SOLUTION: 5x + 2y = -36 x = 6

SOLUTION: 5x + 2y = -36 x = 6 - 7y

Question 178292: 5x + 2y = -36
x = 6 - 7y
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the first equation.

Plug in . 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 30 from both sides

Combine like terms on the right side

Divide both sides by -33 to isolate y

Divide

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 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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