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.5, x, minus, 2, y, equals, 125x−2y=126, x, plus, 2, y, equals, 326x+2y=32
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.
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