SOLUTION: 5x-3y=1 2x+y=8 answer please

Question 988937: 5x-3y=1 2x+y=8 answer please
Found 2 solutions by josmiceli, algebrahouse.com:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
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Multiply both sides of (2) by
and add the equations
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(1)
(2)
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plug this result into (1)
(1)
(1)
(1)
(1)
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check:
(2)
(2)
(2)
you can check other equation

Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
5x - 3y = 1
2x + y = 8

5x - 3y = 1
6x + 3y = 24 {multiplied bottom equation by 3}
------------
11x = 25 {added the two equations}
x = 25/11 {divided each side by 11}

2x + y = 8 {bottom original equation}
2(25/11) + y = 8 {substituted 25/11, in for x, into bottom original equation}
50/11 + y = 8 {multiplied}
y = 8 - 50/11 {subtracted 50/11 from each side}
y = 88/11 - 50/11 {got common denominator}
y = 38/11 {subtracted}

x = 25/11 or 2 3/11
y = 38/11 or 3 5/11

(25/11, 38/11) is the point of intersection of the two lines as shown below

For more help from me, visit: www.algebrahouse.com

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