Question

2x-y=5
9x-4y=25 Use the method of elimination to solve the system of linear equations

Answer 1

eliminate a variable by solving the first equation for y

Answer 2

y= ...

Answer 3

can you do that ? @Avon

Answer 4

nope help me out @UnkleRhaukus

Answer 5

is it y=30

Answer 6

2x-y=5

2x-5=y

y=2x-5

Answer 7

now substitute this into the second equation

9x-4y=25

9x-4(2x-5)=25

solve this for x

Answer 8

18x-8-20=25

Answer 9

@UnkleRhaukus

Answer 10

I can help you @Avon

Answer 11

Okay, so we want to use elimination right?

Answer 12

so take the first equation and multiply it by -4 because we want to eliminate the y terms.
You get:
-8x+4y= -20
9x-4y=25

Answer 13

okay. so add these together.
1x=-5
x=5

Answer 14

Now subsitute x into the second equation and solve for y.
9(5)-4y=25
45-4y=25
-4y=-20
y=5

Answer 15

Now we can check..
2(5)-5=5
5=5 This one checks.


9(5)-4(5)=25
25=25 This one checks.

(5,5) is your answer.

Answer 16

Hope that helps! @Avon

Answer 17

thanks @Atkinsoha

Answer 18

No problem! UnkleRhaukus was doing substitution. It will be the same answer, but this problem specifically said elimination.

Answer 19

U MADE IT EASY FOR ME @Atkinsoha

Answer 20

No problem! Glad I could help! :) Mention me in your problem if you need any more help :)

Answer 21

i got the words mixed up

Answer 22

It's alright @UnkleRhaukus It would have been the same answers!