using the elimination method solve 6=6x+6y and -14y=18x+14
help me solve step by step
1) 6 = 6x + 6y
2) -14y = 18x + 14
Re-write equation 1:
3) 6x + 6y = 6
It is standard to have the unknowns of the left side of the equation.
Now, for equation 2.
-14y = 18x + 14
4) -18x - 14y = 14
Multiply equation 3 by 3.
3 * (6x + 6y) = 6 * 3
5) 18x + 18y = 18
Add equation 4 to equation 5.
18x + 18y = 18
+(-18x - 14y = 14)
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4y = 32
You have just eliminated the x. Solve for y.
4y = 32
y = 8
You can used either equation 1 or equation 2 to solve for x.
1) 6 = 6x + 6y = 6
6x + 6(8) = 6
6x + 48 = 6
6x = 6 - 48
6x = -42
x = -7
Check it with equation 2.
2) -14y = 18x + 14
-14(8) = 18(-7) + 14
-112 = -126 + 14
-112 = -112
You have x = -7 and y = 8