-5x + 7y = 67
11x + 12y = 17
What is the solution for the system of equations above?
To solve this system of equations, we can use the method of substitution or elimination.
Let's use the method of substitution:
From the first equation, we can solve for x in terms of y:
-5x + 7y = 67
-5x = -7y + 67
x = (7y - 67)/5
Now, we substitute this expression for x into the second equation:
11x + 12y = 17
11((7y - 67)/5) + 12y = 17
(77y - 737)/5 + 12y = 17
77y - 737 + 60y = 85
137y - 737 = 85
137y = 822
y = 822/137
y = 6
Substituting y = 6 into the expression for x:
x = (7(6) - 67)/5
x = (42 - 67)/5
x = -25/5
x = -5
Therefore, the solution for the system of equations is x = -5 and y = 6.