Question

use the elimination method to solve the system of equations.
x+4y=37
-x+3y=19

Answer 1

hello there Avon!
x and -x cancel each other out, so you are left with

4y=37 and 3y=19

Answer 2

Do you think you can solve these two equations now? @Avon ?

Answer 3

@Jamierox4ev3r 7y=56

Answer 4

right, then divide 56 by 7. What do you get? @avon?

Answer 5

8 @Jamierox4ev3r

Answer 6

right, so that means that y=8.

Answer 7

THen, plug in the y value (8) into both given equations and solve for x. Try to do that on your own but if you don't understand, I will help you okay?

Answer 8

idk to use the top or bottom equation 2 solve for x
@Jamierox4ev3r

Answer 9

you use both equations! and if they both equal the same thing, then you are correct ^_^

Answer 10

does that make sense @Avon ?

Answer 11

no

Answer 12

let me use one as an example
x+4(8)=37
x+32 =37
-32 -32
---------
x=5

Answer 13

for the first equation, x equals 5. Now , do the second equation and if it also equals 5, that means you are correct!

Answer 14

o ok i c now

Answer 15

:) cool

Answer 16

so (8,5) or the solution set

Answer 17

actually it is (5,8) because the x variable always is listed before the y variable. However, have you tried the second equation yet?

Answer 18

but yeah that is correct! nice job @Avon