SOLUTION: solve by the method of substitution 4x+2y=10 x-y=13

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Question 942939: solve by the method of substitution
4x+2y=10
x-y=13
Found 3 solutions by Alan3354, 10009904@richland2.org, MathTherapy:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
solve by the method of substitution
4x+2y=10
x-y=13 --> x = y + 13

Answer by 10009904@richland2.org(1)   (Show Source):
You can put this solution on YOUR website!
solve for y with the second equation
4x+2y=10
x-y=13
Subtract the x on both sides so the equation ends up looking like this
-y=-x+13
then divide all terms by -1
so then it is y=x-13
and then you substitute the y in 4x+2y=10 for x-13
4x+2(x-13)=10
then you want to distribute the 2 into the x and the -13
4x+2x-26=10
add the like terms
6x-26=10
add 26 to both sides of the equal sign so the -26 cancels out
you end up with
6x=36
Now you wanna isolate the x so divide by 6 on both sides
6x/6 = x 36/6 = 6
x=6

Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website!

solve by the method of substitution
4x+2y=10
x-y=13

4x + 2y = 10_____2(2x + y) = 2(5)_____2x + y = 5 ------ eq (i)
x - y = 13______x = 13 + y ------- eq (ii)
2(13 + y) + y = 5 ------ Substituting 13 + y for x in eq (i)
26 + 2y + y = 5
2y + y = 5 - 26
3y = - 21
, or
x = 13 - 7 ------- Substituting - 7 for y in eq (ii)

You can do the check!!
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