Question

Solve, using the substitution method.

y – 2x = 8
16 + 4x = 2y

A.
The only solution is (24, 0).

B.
There are an infinite number of solutions.

C.
The only solution is (1, 10).

D.
There is no solution.

Answer 1

Start with y - 2x = 8

Answer 2

do you see how you would isolate y in y - 2x = 8 ?

Answer 3

yah, so it would be: y=2x+8? @jim_thompson5910

Answer 4

correct

Answer 5

once you know that y = 2x+8, you can replace every copy of y in the second equation with 2x+8

Answer 6

16 + 4x = 2y

16 + 4x = 2( y )

16 + 4x = 2( 2x+8 ) ... replace every copy of y with 2x+8


now solve for x

Answer 7

k so now you need to distribute it, so 2*2x=4x and 2*8= 16 right?

Answer 8

yes

Answer 9

so 16 + 4x = 4x + 8 now we need to isolate the x

Answer 10

yes

Answer 11

wait so now it would be 16 + 4x - 8/4 = x
i think i did it wrong..

Answer 12

@jim_thompson5910

Answer 13

not sure how you're getting that

Answer 14

oh btw, I just noticed this, but you distributed incorrectly

Answer 15

2( 2x+8 ) should be 4x + 16

Answer 16

oh yah, i guess i forgot to multiply the 2*8

Answer 17

so you really have

16 + 4x = 4x + 16

Answer 18

If you rearrange terms, you go from

16 + 4x = 4x + 16

to

4x + 16 = 4x + 16

Answer 19

and we have something in the form x = x, which is ALWAYS true for any real number x

Answer 20

so it would be B. ?

Answer 21

yes

Answer 22

k thnx!!!!