Question

Solve using substitution. I know some of this but I always end up screwing up the final answer it would be awesome if someone can guide me through it :)
2x – 3y = –2
4x + y = 24

Answer 1

take the 2nd equation
try to isolate y

Answer 2

Rearrange the second equation to get an expression for y

Answer 3

i would subtract y right?

Answer 4

Subtract 4x

Answer 5

4x+y = 24

subtract 4x from both sides

Answer 6

4x-4x +y = 24-4x

Answer 7

will it be 4x = 24 - y

Answer 8

right so i end up with y= -4x + 24

Answer 9

Substitute this expression for y into the first equation

Answer 10

ohh yes poo carry on

Answer 11

so after that i would sub for the first equation and get 2(-4x+24)-3y=-2?

Answer 12

No. Substitute for y, giving 2x -3(-4x+24)=-2. The solve for x.

Answer 13

Remember, by rearranging the second equation, you got an expression for y, not x,

Answer 14

Whoops my bad sorry um.... so i would end up with 2x+12x-72=-2?

Answer 15

Terrific. Now solve for x.

Answer 16

14x-72=-2?
add 72
14x=70?

Answer 17

Yup. Keep going.

Answer 18

x=5

Answer 19

Right on. Now you know the solution for x. Choose either of the two equations from the problem, substitute 5 for x, and solve for y.

Answer 20

4(5) + y = 24
20+y=24?

Answer 21

y=4

Answer 22

Well done. Congrats.

Answer 23

Yay!!! thanks<3

Answer 24

You're welcome.