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What is the solution of the system of x minus negative y equals negative 6 and 6 x minus 3 y equals negative 9?
Wiki User
∙ 13y ago
The first equation is : x - -y -6
which can be simplified to: x + y = 6
the second equation is: 6x - 3y = -9
Using the method of substitution we change the first equation to say x =
x = 6 - y
Next we substitute our known x value from above into the second equation
6x - 3y = -9
6 (6 - y) - 3y = -9
-Distribute through parenthesis-
36 - 6y - 3y = -9
-Simplify the y's-
36 - 9y = -9
-9y = -45
y = 5
Once you know y substitute it back into any of the equations to solve - your choice. For simplicity I use the one that looks the easiest:
x + y = 6
x + (5) = 6
x = 1
So the final solution is (x,y) = (1,5)
Wiki User
∙ 13y ago
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