SOLUTION: How to solve: x+y=12 3x-2y=6

Question 283289: How to solve: x+y=12
3x-2y=6
Answer by oberobic(2304) (Show Source): 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
.
multiply the first equation by 2 and add the two equations together
.
2x +2y = 24
3x -2y = 6
5x = 30
x = 6
.
x+y=12
y = 12-x = 12-6 = 6
.
Check by substituting in the second equation.
3x = 3(6) = 18
-2y = -2(6) = -12
18-12 = 6
Correct
.
Answer:
x = 6
y = 6
.
You also can check graphically to see if they two lines cross at (6,6)...
.
Get the equations into slope-intercept form and define the lines.
.
x+y=12
y = -x+12
.
3x-2y=6
-2y = -3x +6
y = 3/2x -3
.

.
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