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## Elimination using multiplication What is the best answer? 2x+y=0

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## Answers ( )

Answer:x = -2, y = 4

Step-by-step explanation:2x + y = 05x + 3y = 2Multiply the top equation by -3 so that one variable can be eliminated:

-3(2x + y = 0)5x + 3y = 2Simplify the top equation:

-6x – 3y = 05x + 3y = 2Add the equations:

-x = 2Solve for x:

x = -2Substitute x back into one of the equations:

5(-2) + 3y = 2Solve for y:

-10 + 3y = 23y = 12y = 4Answer:x=-2, y=4. (-2, 4).

Step-by-step explanation:2x+y=0

5x+3y=2

—————-

-3(2x+y)=-3(0)

5x+3y=2

——————-

-6x-3y=0

5x+3y=2

—————

-x=2

x=-2

2(-2)+y=0

-4+y=0

y=0-(-4)

y=0+4

y=4