SOLUTION: 5X-7Y=1 2X+5Y=16 could you show the work as well please so i can learn how to do it?

Algebra ->  Linear-equations -> SOLUTION: 5X-7Y=1 2X+5Y=16 could you show the work as well please so i can learn how to do it?      Log On


   

Question 235532: 5X-7Y=1
2X+5Y=16
could you show the work as well please so i can learn how to do it?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
5X-7Y=1
2X+5Y=16
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There's more than one way to do these.
I'll use elimination and substitution
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5X-7Y=1
2X+5Y=16
Multiply each eqn to get the same coefficient for x or y:
10x-14y = 2 Eqn 1 times 2
10x+25y = 80 Eqn 2 times 5
------------- subtract
0x - 39y = -78
y = 2
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Then sub for y into either eqn
2X+5Y=16
2x + 10 = 16
2x = 6
x = 3