SOLUTION: how would you solve 2x=7y-17
5y=17-3x
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Question 404232: how would you solve 2x=7y-17
5y=17-3x
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
how would you solve
2x = 7y - 17
5y = 17 - 3x
:
Rearrange to standard form, and use elimination:
2x - 7y = -17
3x + 5y = 17
:
Multiply the 1st equation by -3, the 2nd equation by 2, results:
-6x + 21y = 51
+6x + 10y = 34
------------------Adding eliminates x find y
31y = 85
y = , an awful number
:
Find x using the 1st original equation
2x = 7y - 17
2x = 7() - 17
2x = () -
2x =
Divide both sides by 2
x = ; another awful number
:
:
Check this using decimals in the 2nd original equation
= 2.742
= 1.097
:
3x + 5y = 17
3(1.097) + 5(2.742) =
3.291 + 13.71 = 17.00; confirms our awful solutions for x and y
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