SOLUTION: Hi, I need some help, would you be able to help me with this? Solve the following system by addition. 2x + 5y = 10 5x - 2y = 10

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Hi, I need some help, would you be able to help me with this? Solve the following system by addition. 2x + 5y = 10 5x - 2y = 10       Log On

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Question 143505: Hi, I need some help, would you be able to help me with this?
Solve the following system by addition.
2x + 5y = 10
5x - 2y = 10

Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
2x + 5y = 10
5x - 2y = 10
----->Add 2/5 the first equation to the second.
2x + 5y = 10
(29/5)x = 14 implies x=70/29
Now put that value for x into the first equation.
2(70/29)+5y=10
140/29+5y=10
5y=150/29 implies y=150/145=30/29
giving solution set (70/29,30/29). Check that on your own by plugging the values into both equations.