Question

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the first equation is substituted into the second equation. x-2y=17
x+3y=17

Answer 1

Basically they want you to solve for x in the first equation. Then you replace 'x' in the second equation with whatever you got after you solved for x.

Answer 2

I still don't know how to do that /:

Answer 3

can you solve x-2y=17 for x?

Answer 4

x=2y +17 ??

Answer 5

you got it

Answer 6

now go to the second equation

x+3y = 17

and replace 'x' with '2y+17' (since the two are equal) to get

(2y+17)+3y = 17

2y+17+3y = 17

Answer 7

The options are ..
(2y+2)+3y=17

(-2y+2)+3y=17

x+3(2y+2)=17

x+3(-2y+2)=17

Answer 8

So it's (2y+17)+3y = 17, which is shown above

Answer 9

oh wait, hold on

Answer 10

hmm there must be a typo in the first equation

Answer 11

can you double check?

Answer 12

ooops , My bad . It's x-2y=2

Answer 13

so x = 2y+2

Answer 14

and

x+3y = 17

becomes

(2y+2)+3y = 17

Answer 15

Thanks & If I was trying to choose a new equation equivalent to y...
15x -y=-6
5x-3y=17

How would I do that ?

Answer 16

notice we have 15x-y = -6, what do we get when we solve for y?

Answer 17

y=15x+6 ?

Answer 18

you got it

Answer 19

Now jump to the other equation 5x-3y=17 and replace y with 15x+6 to get

5x-3(15x+6)=17

Answer 20

ThankYOU !(:

Answer 21

yes thats right

Answer 22

you're welcome