Consider the system of linear equations
7x+16y=-2
9x-4y=22
to use the linear combination method and addition to eliminate the y-terms, by which number should the second equation be multiplied?
-4
-1/4
1/4
4

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:

Factor out:

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: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation:

step-by-step explanation:

x-intercept:

(

−

1

+

√

7

,

0

)

,

(

−

1

−

√

7

,

0

)

y-intercept:

(

0

,

−

6

)