SOLUTION: heyy im amina i was just wondering how do slove this 3x+2y=5 5x-2y=7

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Question 408453: heyy im amina i was just wondering how do slove this
3x+2y=5
5x-2y=7
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Hey! I'm Amina. I was just wondering, how do you solve this?
:
3x + 2y = 5
5x - 2y = 7
:
These equations lend themselves very well to the "elimination method"
3x + 2y = 5
5x - 2y = 7
---------------adding eliminates y, find x
8x + 0y = 12
x = 12%2F8
x = 1.5
:
Find y using the 1st equation, replace x with 1.5.
3(1.5) + 2y = 5
4.5 + 2y = 5
2y = 5 - 4.5
2y = .5
y = .5%2F2
y = .25
:
Check the solutions: x = 1.5 and y = .25; in the 2nd equation.
5(1.5) - 2(.25) = 7
7.5 - .5 = 7
7 = 7; equality reigns, our solutions are correct