You can put this solution on YOUR website! You have two equations and two unknowns, so treat them as a system of linear equations:
x+y=12
3x-2y=6
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multiply the first equation by 2 and add the two equations together
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2x +2y = 24
3x -2y = 6
5x = 30
x = 6
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x+y=12
y = 12-x = 12-6 = 6
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Check by substituting in the second equation.
3x = 3(6) = 18
-2y = -2(6) = -12
18-12 = 6
Correct
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Answer:
x = 6
y = 6
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You also can check graphically to see if they two lines cross at (6,6)...
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Get the equations into slope-intercept form and define the lines.
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x+y=12
y = -x+12
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3x-2y=6
-2y = -3x +6
y = 3/2x -3
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