You can put this solution on YOUR website! Establish the variables
x = larger number
y = smaller number
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Given
x+y = 32
y-2x = -22
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Rearrange x+y=32 to x = 32-y and substitute into the second given equation
y - 2(32-y) = -22
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Distribute the 2
y - 64 - -2y = -22
y - 64 + 2y = -22
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Combine like terms
3y = -22 + 64
3y = 42
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Divide both sides by 3 as the smaller number
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Rearrange x+y=32 to y = 32-x and substitute into the second given equation
32-x - 2x = -22
Combine like terms
-3x = -22 - 32
-3x = -54
Divide both sides by -3 as the larger number
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Check
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