Find the solution of the system of equations.7, x, minus, 7, y, equals, 77x−7y=7minus, 4, x, minus, 7, y, equals, minus, 26−4x−7y=−26
Question
Find the solution of the system of equations.7, x, minus, 7, y, equals, 77x−7y=7minus, 4, x, minus, 7, y, equals, minus, 26−4x−7y=−26
Solution
The system of equations is:
- 7x - 7y = 7
- -4x - 7y = -26
First, simplify the equations:
- x - y = 1
- -4x - 7y = -26
Next, you can solve the first equation for x:
x = y + 1
Substitute x in the second equation:
-4(y + 1) - 7y = -26 -4y - 4 - 7y = -26 -11y - 4 = -26 -11y = -22 y = 2
Substitute y = 2 into the first equation:
x - 2 = 1 x = 3
So, the solution to the system of equations is x = 3, y = 2.
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