Find the solution to the system of equations. write the solution as an ordered pair.
5x – 4y = -10
3x + 2y = 16
solution =

(2, 5)

Step-by-step explanation:

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the solutions are (2, 5)

Step-by-step explanation:

The given system of simultaneous equations is

5x – 4y = -10 - - - - - - - - - - - 1

3x + 2y = 16 - - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 3 and equation 2 by 5. It becomes

15x - 12y = - 30

15x + 10y = 80

Subtracting, it becomes

- 22y = - 110

Dividing the left hand side and right hand side of the equation by - 22, it becomes

- 22y/-22 = - 110/-22

y = 5

Substituting y = 5 into equation 1, it becomes

5x – 4 × 5 = -10

5x - 20 = - 10

5x = - 10 + 20

5x = 10

x = 10/5 = 2

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