Question

Which of these strategies would eliminate a variable in the system of equations?

2x- 6y=6

6x - 4y = 2

Choose all answers that apply: more than 1


Multiply the bottom equation by 3 then subtract the bottom equation from the top equation


Multiply the bottom equation by -3/2 then add the equations.

Multiply the top equation by-3. then add the equations

Answer 1

Multiply the bottom equation by -3/2 then add the equations.

Multiply the top equation by-3. then add the equations

Explanation:

Given the simultaneous equation

2x- 6y=6 ... 1

6x - 4y = 2 ... 2

To eliminate a variable, we have to make the coefficient of one of the variable to be the same.

Multiply equastion 1 by -3

-6x+18y= -18

6x - 4y = 2

Add the result:

-6x + 6x + 18y-4y = -18+2

18y-4y = -18+2

14y = -18

y = -9/7

Another way is to Multiply the bottom equation by -3/2 then add the equations.

Multiplying equation 2 by -3/2 will give;

6x(-3/2) - 4y(-3/2) = 2(-3/2)

-9x + 6y = -3

Add to equation 1;

2x- 6y=6

-9x + 2x + 0 = -3+6

-7x = 3

x = -3/7

Hence the correct two options are;

Multiply the bottom equation by -3/2 then add the equations.

Multiply the top equation by-3. then add the equations