Question

please help me :)
Given the following system of equations
x + y = 4k
2x = k
where k is a constant Real Number, solve the system for (x, y) in terms of k. Do not replace
the constant k with a numerical value. Give your solution as an ordered pair.

Answer 1

\[\left\{\frac{k}{2},\frac{7 k}{2}\right\} \]

Answer 2

what?@robtobey

Answer 3

You can solve it by substitution
the 2x=k gives you x=k/2
replace the x in the first equation with k/2
and then solve for y

Answer 4

dont understand

Answer 5

do you see the x=k/2 ?
This means x is k/2.
Do you see the x in the first equation, the equation that is x+y=4k?
This means you can place that x in that equation with k/2 .

Answer 6

i see that yeah and when you plug it, k/2+y=4y

Answer 7

ohh okay got it

Answer 8

well you replace the k with y
why?

Answer 9

like the first equation was x+y=4k not x+y=4y

Answer 10

you are just to replace x with k/2
and then solve for y

Answer 11

okay