SOLUTION: Solve the system by substitution: x= 3y+6 2x+y= -16 what is x and y?

Question 182101This question is from textbook Saxon
: Solve the system by substitution:
x= 3y+6
2x+y= -16
what is x and y? This question is from textbook Saxon

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system

Plug in into the second 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 12 from both sides

Combine like terms on the right side

Divide both sides by 7 to isolate y

Divide

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

Substitute for each

Multiply

Add

So the solutions 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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