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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

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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.

This problem has been solved

Solution 2

The system of equations is:

  1. 4x + 7y = -238
  2. 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.

This problem has been solved

Solution 3

The system of equations is:

  1. 4x + 7y = -238
  2. 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.

This problem has been solved

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