SOLUTION: It says to solve the following System of equations by either addition or substitution?? y=-3x+8 4x-2y=14

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Question 924712: It says to solve the following System of equations by either addition or substitution??
y=-3x+8
4x-2y=14

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify the second equation first. Substitute from the first equation next. Now solve for x, and use it to evaluate y, again using the first equation.

2x-y=7;
2x-%28-3x%2B8%29=7
2x%2B3x-8=7
.
.


y=17 and x=3.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

It says to solve the following System of equations by either addition or substitution??
y=-3x+8
4x-2y=14

y = - 3x + 8_____3x + y = 8 ------ eq (i)
4x - 2y = 14_____2(2x - y) = 2(7)_____2x - y = 7 ------ eq (ii)
5x = 15 ------- Adding eqs (ii) & (i)
x = 15%2F5, or highlight_green%28x+=+3%29
y = - 3(3) + 8 ------- Substituting 3 for x in eq (i)
y = - 9 + 8
highlight_green%28y+=+-+1%29
You can do the check!!