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Which of these steps will eliminate a variable in this system
3x-3y=6
6x+9y=3


Which Of These Steps Will Eliminate A Variable In This System 3x3y6 6x9y3 class=

Sagot :

Answer:

A

Step-by-step explanation:

This is because when you do a the answer states, multipliying the top by 2, makes the top equation 6x-6y=12. When you subtract the second from the first you get:

 6x - 6y = 12

- 6x + (-)9y = (-)3

Which results in -15y = 9.

This results in an eliminated variable from the start of the system of equation.

The steps that will eliminate a variable in this system are:

Multiply the first equation by 2.

Then subtract the second equation from the first.

What is method of elimination?

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

[tex]3x - 3y = 6\\6x +9y = 3\\\\6x - 6y = 12\\6x +9y = 3\\\\15y = -9\\y = -3/5\\x= 2-3/5 = 7/5[/tex]

Learn more about method of elimination here

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