SOLUTION: Please help. Solve the system by substitution. 4x+2y=8 y=-3x+7 Thanks JMS

Question 116202: Please help.
Solve the system by substitution.
4x+2y=8
y=-3x+7
Thanks
JMS
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

Subtract 14 from both sides

Combine like terms on the right side

Divide both sides by -2 to isolate x

Divide

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

Substitute for each

Simplify

So our answer is and

RELATED QUESTIONS
Please help. Solve the system by substitution. 3x - y = -7 x + y = -9 Thanks... (answered by solver91311)

Please help. Solve the following system by substitution. 4x - 12y = 5 -x + 3y = (answered by MathLover1)

Please help. Solve the following system by substitution x + y = 12 y = 2x... (answered by checkley71)

Please help. Solve the following system by substitution. 8x - 4y = 16 y =... (answered by josmiceli)

Please help. Solve the system by graphing. x - 2y = 8 x + y = -1 Thanks... (answered by elima)

Please help. Please Solve the system by graphing 3x + y = 6 3x - y = 0... (answered by checkley71)

Please help. Solve the following systems by substitution. 5x - 2y = -5 y - 5x =... (answered by jim_thompson5910,MathLover1)

Please help. Solve the following system by graphing. 3x - 6y = 9 x - 2y = 3 (answered by chitra)

Please help. Solve the system by graphing. 3x + y = -1 9x +3y = -3 Thanks JMS (answered by solver91311)