SOLUTION: Solve by the substitution method. I have part of this I will add it here and hopefully someone can help me with the last part. Solve by the substitution method. 8x+2y=-46

Algebra ->  Expressions-with-variables -> SOLUTION: Solve by the substitution method. I have part of this I will add it here and hopefully someone can help me with the last part. Solve by the substitution method. 8x+2y=-46       Log On


   

Question 244341: Solve by the substitution method. I have part of this I will add it here and hopefully someone can help me with the last part.
Solve by the substitution method.
8x+2y=-46
-6x+y=47
Ok, so you start with the second equation to make it more simple.
1(-6x+47)
y=-6x+47
Substitute that for y in the first equation.
8x+2(-6x+47)=-46
8x-12+94=-46
Collect like terms.
-4x+94-94=-46+94
-4x=48
x=-12
Is this correct so far?
So next you would take -12 and substitute it into the second equation.
-6(-12)+47
72+47
y=119
So my ordered pair would be
(-12,119)
except I know this is wrong, I am just wondering exactly what I did wrong here. Thanks in advance.



Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
-6x+y=47 ___ adding 6x ___ y = 6x + 47

substituting ___ 8x + 2(6x + 47) = -46 ___ 20x + 94 = -46 ___ 20x = -140 ___ x = -7

substituting ___ -6(-7) + y = 47 ___ 42 + y = 47 ___ y = 5