SOLUTION: Can someone please show me the steps to solving the system x+y=20 and x-y=28, using the substitution method? Thank you!

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Question 369668: Can someone please show me the steps to solving the system x+y=20 and x-y=28, using the substitution method? Thank you!
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
1.
2.
From eq. 1,

Substitute into eq. 2,




Then from eq. 1,
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi,

solving the system x+y=20 and x-y=28, using the 'substitution' method:

1) choose one of the equations to solve for one of the variables

x - y = 28

x = y + 28

2) 'substitute' these findings for x into the other equation x+y=20 

y + 28 + y =20 

solve for y

2y = -8

y = -4

Finding x

x = y + 28 = -4 + 28 = 24

ordered pair( 24,-4) is the point these lines have in common 

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