Question

Solve the following system of linear equations by using the elimination method. Show all work:
2x = 5y + 4
3x - 2y = -16

Answer 1

you need to make both lines have the same value for one of the variables.

Answer 2

so first i'd set them both to zero

Answer 3

2x-5y-4=0

3x-2y+16=0

Answer 4

I'd multiply the first one by -3

the 2nd one by 2

Answer 5

(3)2x-5y-4=0
6x-15y-12=0

(-2)3x-2y+16=0
-6x+4y-32=0

Answer 6

ok then what do i do next

Answer 7

Now you add them up

Answer 8

6x-15y-12=0
-6x+4y-32=0

Add and you get -11y=44

Answer 9

y=?

Answer 10

-4?

Answer 11

yes so now that you know that y=-4

plug that back into the original equation (either one)

Answer 12

2x = 5(-4) + 4

Answer 13

2x=-20+4
2x=-16

x=?

Answer 14

-8?

Answer 15

exactly

so your solution is -8,-4

Answer 16

awesome thank you!!!

Answer 17

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