Question

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

4x - 2y = 6
2x + y = 5

-4x - 2y = 10
-4y = 4
-4x - 5y = -1
-7y = 5
3x + 2y = 6
7x = 12
4x + 2y = 10
8x = 16

@campbell_st
@undeadknight26

Answer 1

what solution are you given..?

Answer 2

I dont know thats why im confused

Answer 3

4x-2y=6
2x+y=5

Answer 4

ok... so here is what I would do for this question

solve the equations... double the 2nd equation and add the 1st ... this eliminates y

4x - 2y = 6
4x + 2y = 10
--------------
8x = 16

can you find the value of x..?

Answer 5

x would be 2?

Answer 6

that'c correct... not substitute that into either equation and find y

what do you get..?

Answer 7

8+2y=10
then subract 8 to both sides and get 2y=10 and divide so y equals 5?

Answer 8

use the 2nd of the original equations

2x + y = 5

subsitute x = 2 and find y

Answer 9

your attempt has an error its

4x - 2y = 6 so 8 - 2y = 6

Answer 10

4+y=5 y equals 1

Answer 11

Is that right? @campbell_st

Answer 12

that's correct.... so now to find the correct set of equivalent solutions

subsitute x = 2 and y = 1 into each pair to find the correct answer