Question

Provide the solution to the system using elimination.

2x – 5y = –12
3x – 4y = 3

Please show me the work and the answer

Answer 1

we can do this together :)

Answer 2

ok :)

Answer 3

first multiply 1st equation with 3 and 2nd equation with 2

Answer 4

wait but there are only two equations

Answer 5

Yes. Multiply the first equation by 3. Multiply the second equation by 2. Then the x variable will have the same coefficient in each.

Answer 6

And you can subtract one from the other and eliminate the x's

Answer 7

whats
3(2x-5y)=3(-12)

Answer 8

-36?

Answer 9

do you know whats 3(2x-5y)

Answer 10

can you ?

Answer 11

6x-15y

Answer 12

Correct.

Answer 13

so,6x-15y=-36

Answer 14

2(3x-4y)=2(3)

Answer 15

isnt it 6x-8y=6?

Answer 16

yea

Answer 17

1st equation is 6x-15y=-36
2nd equation is 6x-8y=6

Answer 18

now subtract 2nd from 1st

Answer 19

6x-15y=-36
- 6x-8y=6

Answer 20

so, 6x-6x-15y+8y=-36-6

Answer 21

is the answer 6?

Answer 22

yea y=6
now just plug y value in one of the equation to get x value

Answer 23

which equation the first one?

Answer 24

as you like

Answer 25

2x-5(6)=-12

Answer 26

3x+4(6)=3?

Answer 27

no,3x-4(6)=3

Answer 28

oh so then I solve ti like a normal equation right?

Answer 29

it*

Answer 30

Now you're solving for x. Once you have your x and your y, you put them together to make the solution (x,y)

Answer 31

so x=-7 and y=6 right?

Answer 32

nope,
3x-4(6)=3
3x-24=3
3x=27
x=27/3
x=9

Answer 33

oh ok thanks alot :)