Find the solution of the system of equations.4, x, minus, 7, y, equals, 424x−7y=422, x, minus, 8, y, equals, 302x−8y=30
Question
Find the solution of the system of equations.
The system of equations is:
Solution
To solve the system of equations:
4x - 7y = 42 2x - 8y = 30
We can use the method of substitution or elimination. Here, I'll use the elimination method.
First, we can multiply the second equation by 2 to make the coefficients of x in both equations the same:
4x - 7y = 42 4x - 16y = 60
Now, subtract the second equation from the first:
4x - 4x - 7y + 16y = 42 - 60 9y = -18
Divide by 9:
y = -18 / 9 y = -2
Substitute y = -2 into the first equation:
4x - 7(-2) = 42 4x + 14 = 42 4x = 42 - 14 4x = 28 x = 28 / 4 x = 7
So, the solution to the system of equations is x = 7, y = -2.
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