xximenaaa xximenaaa
  • 13-07-2021
  • Mathematics
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Find the solution of this system of equations
4x - 5y = -12
-X + 5y = 18

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musiclover10045
musiclover10045 musiclover10045
  • 13-07-2021

4x - 5y = -12

-x + 5y = 18

Add the equations together:

4x + -x = 3x

-5y + 5y = 0

-12 + 18 = 6

So now you have:

3x = 6

Divide both sides by 3:

X = 2

Now you have the value of x, replace x with 2 in one of the equations and solve for y:

4(2) -5y = -12

8 -5y = -12

Subtract 8 from both sides:

-5y = -20

Divide both sides by -5:

Y = 4

The solution is x = 2 and y = 4 which is written as (2,4)

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