SOLUTION: How do you solve this using substitution? 2x = y - 4 -3y = x - 5

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Question 714562: How do you solve this using substitution?
2x = y - 4
-3y = x - 5

Answer by Dionysus10474(5)   (Show Source): You can put this solution on YOUR website!
2x = y - 4
-3y = x - 5
Make the factor of 1 variable equal to the factor of the same variable in the other equation.
I'll do both of them. First the x.
(2x)/2=(y - 4)/2
-3y - x = -5
x = 0.5y - 2
-3y - x = -5
Put the value of x from the first equation in the second equation.
-3y - (0.5y - 2) = -5
remember -1 * -2 = +2
-3y - 0.5y + 2 = -5
-3.5y + 2 = -5
-3.5y = -7
y = -7/-3.5
y = 2
put y in any of the original equations and you get your value of x
x = 0.5y - 2
so
2 = 0.5 y -2
4 = 0.5y
8 = y

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