What is the solution of the system?
6x-9y=7.5
7y-3x=-5
-3x + 7y = -5
2 * (-3x + 7y) = -5 * 2
-6x + 14y = -10
Add....
-6x + 14y = -10
+(6x - 9y = 7.5)
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5y = -2.5
y = -0.5
Substitute that into equation 1.
6x - 9y = 7.5
6x - 9(-0.5) = 7.5
6x + 4.5 = 7.5
6x = 3
x = 0.5
Check the answer.
7y - 3x = -5
7(-0.5) - 3(0.5) = -5
-3.5 - 1.5 = -5
-5 = -5