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Solve the system of equations.What is x and y


−2x+15y=−24
2x+9y=24


User Mrjohn
by
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2 Answers

4 votes

Answer:

The solution is ( x , y ) = ( 12 , 0 )

Explanation:

[ Refer to the attachment ]

Solve the system of equations.What is x and y ​ −2x+15y=−24 2x+9y=24 ​-example-1
User Rochester Oliveira
by
4.8k points
3 votes

−2x+15y=−24

2x+9y=24

Add the two equations together.

-2x +2x = 0

15y + 9y = 24y

-24+24 = 0

The two equations when added become:

24y = 0

Solve for y:

divide both sides by 24:

y = 0/24 = 0

The value of Y is 0

Now replace Y in one of the equations and solve for x:

2x+9(0) = 24

2x + 0 = 24

2x = 24

Divide both sides by 2:

x = 24/2

x = 12.

The value of x is 12

The solution is (12,0)

User Alexander Battisti
by
4.9k points