Question 1063358
1) 2x + 3y = 11
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2) 3x -y = -11
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solve equation 1) for x
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x = (-3y +11) / 2
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now substitute for x in equation 2)
:
3( (-3y + 11 / 2) ) -y = -11
:
( -9y + 33 ) / 2 -y = -11
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multiply both sides of = by 2
:
-9y + 33 -2y = -22
:
-11y = -55
:
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y = 5
x = (-3(5)+11) / 2 = -2
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check the equations in the problem
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3y = 11-2x
3x = y-11
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3(5) = 11 -2(-2)
15 = 15
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3(-2) = 5-11
-6 = -6
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our answer checks
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