SOLUTION: Use the substitution method to solve the following system of equations. 7x-y=14 3x+4y=6

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Question 1156521: Use the substitution method to solve the following system of equations.
7x-y=14
3x+4y=6

Found 2 solutions by ankor@dixie-net.com, josgarithmetic:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
se the substitution method to solve the following system of equations.
7x-y=14
3x+4y=6
:
Use the first equation for substitution
-y = -7x + 14
multiply by -1
y = 7x - 14
:
In the 2nd equation, replace y with (7x-14)
3x + 4(7x-14) = 6
3x + 28x - 56 = 6
31x = 6 + 56
31x = 62
x = 62/31
x = 2
find y
y = 7(2) - 14
y = 0
:
:
Check solution in the 2nd equation
3(2) + 4(0) = 6

Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
-----------------
7x-y=14
3x+4y=6
-----------------

4%2AE1-------------
system%2828x-4y=56%2C3x%2B4y=6%29

E1%2BE2:
31x=62
highlight%28x=2%29

y=7x-14
y=7%2A2-14
highlight%28y=0%29