Question 994380
3x -5y = 11
2x -6y = 2 
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solve second equation for x
add 6y to both sides of =
2x = 6y + 2
divide both sides of = by 2
x = 3y + 1
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now substitute for x in first equation
3(3y + 1) - 5y = 11
9y + 3 - 5y = 11
4y + 3 = 11
subtract 3 from both sides of =
4y = 8
divide both sides of = by 4
y = 2
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substitute for y in first equation
3x - 5(2) = 11
3x - 10 = 11
add 10 to both sides of =
3x = 21
divide both sides of = by 3
x = 7
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solution is x = 7 and y = 2
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check this solution by substituting the solution in the second equation
2(7) -6(2) = 2
14 - 12 = 2
2 = 2
our solution checks