Answer:
4
Step-by-step explanation:
The first equation has 16y and the second equation has -4y where both equations are in the same form.
So we need to figure out what we can multiply to -4y such that when added to 16y will give us a sum of 0.
If you don't like that wording, maybe you are more into symbols.
We need to find k such that:
[tex]16y+k(-4y)=0[/tex]
Factor [tex]y[/tex] out:
[tex](16+k(-4))y=0[/tex]
[tex](16-4k)y=[/tex]
This implies 16-4k=0 since y is a variable and not always 0.
16-4k=0
Subtract 16 on both sides:
-4k=-16
Divide both sides by -4:
k=-16/-4
Simplify:
k=4
So we need to multiply the second equation by 4 so that 16y and -16y will cancel when adding the equations together.
Perhaps you like this wording more:
We need to figure out what the opposite of 16y which is -16y. The reason we wanted to know that is when you add opposites you get 0.
So how do we make -4y be -16y? We need to multiply -4y by 4 which gives you -16y.
Answer:
The answer is 4 (for mine 4 was D)
Step-by-step explanation:
To use the linear combination method and addition to eliminate the y-terms, by which number should the second equation be multiplied?
–4
Negative one-fourth
One-fourth
4
