SOLUTION: I need help Solve by elimination by addition. 7x-5y=52 { 2x+5y=47

Question 453111: I need help
Solve by elimination by addition.
7x-5y=52
{
2x+5y=47
Answer by pedjajov(51) (Show Source): You can put this solution on YOUR website!
This is a system of two linear equations with two variables:
7x-5y=52
2x+5y=47
:
We can add these two equations to form the third:
7x-5y+2x-5y=52+47, regroup
7x+2x+5y-5y=99, combine like terms
9x=99, divide by 9 both sides
x=11
:
Substitute x in one of the equations:
7*11-5y=52
77-5y=52, add 5y and subtract 52 on both sides
77-5y+5y-52=52-52+5y, regroup
77-52+5y-5y=5y, combine like terms and numbers
25=5y, divide by 5
y=5
:
Solutions are x=11, y=5

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