SOLUTION: I do not get how to use the substitution method while solving the equation 2x+4y=-6 x-3y=7

Question 123845: I do not get how to use the substitution method while solving the equation 2x+4y=-6
x-3y=7
Answer by chitra(359) (Show Source): You can put this solution on YOUR website!
The given equations are:

2x + 4y = -6 ------------------(1)

x - 3y = 7 --------------------(2)

The 2nd equation can be re-written as: x = 3y + 7 --------(3)

Substituting the 3rd eqn in the first equation we get:

2(3y + 7) + 4y = - 6

using distributive property,

6y + 14 + 4y = - 6

10y + 14 = - 6

10y = -6 - 14

10y = -20

==> y =

==> y = - 2

Now by back substitution,in equation(3) we get:

x = 3y + 7

x = 3(-2) + 7

x = -6 + 7

x = 1

thus the solution.
regs

RELATED QUESTIONS
I am trying to learn the substitution method. I do not understand the steps. Here... (answered by brikay0299,jim_thompson5910)

how do I solve x+3y=6 and 2x+3y=18 by the substitution... (answered by TimothyLamb,MathTherapy)

Use the substitution method to solve 2x+4y=12... (answered by Alan3354)

I need help solving the following problems using substitution AND elimination. 1.... (answered by Fombitz)

Hey there, I have been given a simultaneous equations hwk, and have been doing fine up... (answered by ikleyn)

Can you help me to solve these two equations by using the substitution method. 2x + 4y (answered by mananth)

Solving Systems of Linear Equations by the Substitution Method. I am having a... (answered by stanbon)

how do i solve x = 7 - 10y 10x - 4y = 18 using the substitution method (answered by Alan3354)

Please help me solove this problem: 2X-1/3y=8 3X-1/2y=6 I'm not sure how to start... (answered by ankor@dixie-net.com)