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Find the solution of the system of equations.5, x, minus, 2, y, equals, 125x−2y=126, x, plus, 2, y, equals, 326x+2y=32

Question

Find the solution of the system of equations.

  1. 5x−2y=126 5x - 2y = 126
  2. x+2y=32 x + 2y = 32
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Solution

The system of equations is:

5x - 2y = 12 x + 2y = 32

To solve this system of equations, you can use the method of addition (also known as the method of elimination). Here are the steps:

Step 1: Align the equations vertically by variable:

5x - 2y = 12

  • (x + 2y = 32)

Step 2: Add the two equations together:

6x = 44

Step 3: Solve for x by dividing both sides of the equation by 6:

x = 44 / 6 x = 7.33 (rounded to two decimal places)

Step 4: Substitute x = 7.33 into the second equation:

7.33 + 2y = 32

Step 5: Solve for y:

2y = 32 - 7.33 2y = 24.67 y = 24.67 / 2 y = 12.33 (rounded to two decimal places)

So, the solution to the system of equations is x = 7.33 and y = 12.33.

This problem has been solved

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