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Find the solution of the system of equation -x-8y=2 and x-5y=-15

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Here you will find the answer.

Link:https://www.symbolab.com/solver/step-by-step/-x-8y%3D2%20and%20x-5y%3D-15

Answer:

x= -10, y= 1

Step-by-step explanation:

-x -8y= 2 -----(1)

x -5y= -15 -----(2)

From (2):

x= 5y -15 -----(3)

Substitute (3) into (1):

-(5y -15) -8y= 2

Expand:

-5y +15 -8y= 2

-13y +15= 2

13y= 15 -2

13y= 13

Divide both sides by 13:

y= 13 ÷13

y= 1

Substitute y= 1 into (3):

x= 5(1) -15

x= 5 -15

x= -10