Find the solution of the system of equations.4, x, plus, 7, y, equals, minus, 234x+7y=−238, x, plus, 5, y, equals, minus, 18x+5y=−1
Question
Find the solution of the system of equations.4, x, plus, 7, y, equals, minus, 234x+7y=−238, x, plus, 5, y, equals, minus, 18x+5y=−1
Solution 1
The system of equations is:
4x + 7y = -238 x + 5y = -1
To solve this system of equations, we can use the method of substitution or elimination. Here, I'll use the method of substitution.
First, let's isolate x in the second equation:
x = -5y - 1
Now, substitute x in the first equation:
4(-5y - 1) + 7y = -238 -20y - 4 + 7y = -238 -13y - 4 = -238 -13y = -234 y = -234 / -13 y = 18
Substitute y = 18 in the second equation:
x + 5(18) = -1 x + 90 = -1 x = -1 - 90 x = -91
So, the solution to the system of equations is x = -91, y = 18.
Solution 2
The system of equations is:
- 4x + 7y = -238
- x + 5y = -1
To solve this system of equations, we can use the method of substitution or elimination. Here, I'll use the method of substitution.
First, from the second equation, we can express x in terms of y:
x = -1 - 5y
Now, we substitute x in the first equation:
4(-1 - 5y) + 7y = -238 -4 - 20y + 7y = -238 -13y - 4 = -238 -13y = -234 y = -234 / -13 y = 18
Substitute y = 18 into the second equation:
x + 5*18 = -1 x + 90 = -1 x = -1 - 90 x = -91
So, the solution to the system of equations is x = -91 and y = 18.
Solution 3
The system of equations is:
- 4x + 7y = -238
- x + 5y = -1
To solve this system of equations, we can use the method of substitution or elimination. Here, I'll use the method of substitution.
First, from the second equation, we can express x in terms of y:
x = -1 - 5y
Now, we substitute x in the first equation:
4(-1 - 5y) + 7y = -238 -4 - 20y + 7y = -238 -13y - 4 = -238 -13y = -238 + 4 -13y = -234 y = -234 / -13 y = 18
Substitute y = 18 into the second equation:
x + 5*18 = -1 x + 90 = -1 x = -1 - 90 x = -91
So, the solution to the system of equations is x = -91 and y = 18.
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