Question

Solve the system by using elimination or elimination with multiplication.

3x + 4y = -2 and 2x - 3y = 10

Answer 1

Is it together or are they two separate problems?

Answer 2

They are together.

Answer 3

3x + 4y = -2
2x - 3y = 10

one way is to multiply the top equation (that means every term BOTH sides) by -2
and
multiply the 2nd equation by +3

what do you get for the 2 new equations ?

Answer 4

Is the new equations -6x+-8y=4 and 6x+9y=30? Or did I do something wrong?

Answer 5

close . redo the 2nd equation.

Answer 6

Do you change the + to a -?

Answer 7

3*(2x-3y)= 3*10
6x -9y = 30

Answer 8

now add the 2 equations
-6x+ -8y=4
6x+ -9y=30

Answer 9

Like this? 6x-9y=30 or is it like this? 6x-(-9y)=30?

Answer 10

are you asking what you get when you multiply the 2nd equation by 3 ?

2x + -3y = 10

3 times each term: 3*2x + 3* -3y = 3*10
there is only 1 minus sign, and it stays
you get
6x -9y = 30

Answer 11

Oh, okay. I get it. Sorry, I got kicked off for a few minutes.

Answer 12

Then, you add them and the 6's cancel out right? Then you would have 0x+17y=34 right or would it be a -?

Answer 13

Okay, thank you so much for your help! I finally figured out the answer.

Answer 14

now add the 2 equations
-6x+ -8y=4
6x+ -9y=30