Question

Choose the equivalent system of linear equations that will produce the same solution as the one given below.

6x + 2y = -6
3x - 4y = -18

Answer 1

can anyone help

Answer 2

First off, try solving it and then tweak the variables a little with some algebraic properties so we get a new, but equivalent system of linear equations.

Answer 3

how do i solve this

Answer 4

ill come back when your finished writing brb

Answer 5

Okay, let's first look at the system of equation, I'll take the 1st equation and solve for one variable:
\[6x+2y=-6\]
\[2y=-6-6x\]
\[y=\frac{ -6x-6 }{ 2 }\]
\[y=\frac{ 6(-x-1) }{ 2 }=3(-x-1)=-3x-3\]
\[y=-3x-3\]
After solving for the variable I chose, I'll replace it on the 2nd equation:
\[3x-4y=-18\]
\[y=-3x-3\]
then:
\[3x-4(-3x-3)=-18\]
\[3x+12x+12=-18\]
\[15x=-30\]
\[x=\frac{ -30 }{ 15 }\]
\[x=-2\]
having found "x", all we have to do is replace it on the "y" value we had found on the first equation:
\[y=-3x-3\]
\[x=-2\]
then:
\[y=-3(-2)-3\]
\[y=6-3=2\]
\[y=2\]
and thus, solving the problem.

Answer 6

ok

Answer 7

can i show you the list of answers though

Answer 8

here look

Answer 9

Choose the equivalent system of linear equations that will produce the same solution as the one given below.
6x + 2y = -6
3x - 4y = -18

ANSWERS BELOW!!!
___________________
A. 12x + 4y = -12
15x = -30

B. 8x + 4y = -4
14x = -10

C. 6x - 8y = -36
-6y = -42

D. 6x - y = -15
3y = 9

Answer 10

there

Answer 11

@ganeshie8

Answer 12

how to solve

Answer 13

@ganeshie8 you there

Answer 14

6x + 2y = -6
3x - 4y = -18

Answer 15

what

Answer 16

multiply first equation by 2 you get

12x + 4y = -12
3x - 4y = -18

yes ?

Answer 17

yeah

Answer 18

next add both the equations vertically

Answer 19

ok

Answer 20

do it

Answer 21

ok wait how exatly

Answer 22

ok nvm then.

Answer 23

12x + 4y = -12
3x - 4y = -18
--------------------
15x + 0 = -30

Answer 24

oh

Answer 25

ok

Answer 26

you just add them column by column like above ^

Answer 27

ok thanks i get it now

Answer 28

you're welcome!

Answer 29

oh, Sorry if I didin't response, I lost connection X.x

Answer 30

oh

Answer 31

anyways bye guys im going to close the question now