savannahsimmons134 savannahsimmons134
  • 09-03-2020
  • Mathematics
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Arrange the steps to solve this system of linear equations in the correct sequence.

x + y = -2

2x – 3y = -9

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Officialalehpeter
Officialalehpeter Officialalehpeter
  • 09-03-2020

Answer:

x=-3

y=1

Step-by-step explanation:

x+y=-2...(1)

2x-3y=-9...(2)

In equation (1) make x the subject of formula by subtracting y from both sides

x=-2-y...(3)

Substitute (3) into (2)

2(-2-y)-3y=-9

Open the bracket

-4-2y-3y=-9

Collect like terms

-2y-3y=-9+4

-5y=-5

Divide both sides by-5

y=1

Substitute y=1 into(3)

x=-2-1

x=-3

Therefore,x=-3,y=1

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