Find the solution of the system of equations.

minus, x, plus, 4, y, equals, 29
−x+4y=
29
6, x, plus, 2, y, equals, minus, 18
6x+2y=
−18

1 answer

The system of equations is:

1) -x + 4y = 29
2) 6x + 2y = -18

To solve this system, we can use the method of substitution or elimination.

Using the method of substitution:
From equation 1), we can express -x as 29 - 4y, and substitute it into equation 2):
6(29 - 4y) + 2y = -18
174 - 24y + 2y = -18
-22y = -192
y = 8

Substituting the value of y into equation 1):
-x + 4(8) = 29
-x + 32 = 29
-x = -3
x = 3

So, the solution to the system of equations is x = 3 and y = 8.
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