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Given the following system of equations:

3x + 5y = 30
x + 3y = 10

Which action creates an equivalent system that will eliminate one variable when they are combined?

A. Multiply the second equation by −1 to get −x − 3y = −10.
B. Multiply the second equation by −3 to get −3x − 9y = −30.
C. Multiply the first equation by −1 to get −3x − 5y = −30.
D. Multiply the first equation by −3 to get −9x − 15y = −90.

Respuesta :

bisma8
Answer is b because it eliminates x when these two equations are combined

An equation is formed of two equal expressions. The correct option is B.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The action that creates an equivalent system that will eliminate one variable when they are combined is Multiplying the second equation by −3 to get −3x − 9y = −30.

3x + 5y -3x - 9y = 30 - 30

-4y = 0

y = 0

Hence, the correct option is B.

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