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Use linear combinations to solve the system.. negative 6x plus 8y equals 36 and 7x plus 6y equals 4 Find X and Y?
1. -6x + 8y = 36
2. 7x + 6y = 4
6y = 4 - 7x
y = (4-7x)/6 Put this in the first equation and solve
-6x + 8((4-7x)/6) = 36
-36x + 8(4-7x) = 216 Multiply with 6 to simplify.
-36x + 32 - 56x = 216
-36x -56x = 216 - 32
-92x = 184
x = 184/-92
x = -2
X = - 2
Now that you have X, put it in any of the equations above to solve Y.
7x + 6y = 4 Put in x = -2
7(-2) + 6y = 4
-14 + 6y = 4
6y = 4 + 14
y = 18/6
y = 3
Y = 3
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