Question

A student is trying to solve the set of two equations given below:

Equation A: x + z = 6
Equation B: 2x + 4z = 1

Which of the following is a possible step used in eliminating the z-term? (5 points)

Multiply equation B by 4.
Multiply equation A by 2.
Multiply equation A by −4.
Multiply equation B by 2.

Answer 1

If we want to get rid of z... we want the coefficients of z to be the same

We want the numbers in front of each z to be the same

Answer 2

I would suggest we change the number in front of the z that is in Equation A

Answer 3

ok

Answer 4

what do you think we should change it to?

Answer 5

4?

Answer 6

ok, so which multiple choice option gets us what we want?

Answer 7

the first option

Answer 8

Multiplying the Equation B by 4 means that the 4z turns into a 16z

I don't think that's what we want

Answer 9

see that's what i get confused sorry

Answer 10

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Angle
I would suggest we change the number in front of the z that is in Equation A
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 11

so is it c

Answer 12

yup! :)

Answer 13

ok thank you