Question

What is the solution for this system of linear equations? I think I did something wrong?
y=2x+10
y=3x+18
so 3x+18=2x+10
subtract 3 from both sides,
so 18=1x+10
subtract 10 from both sides
8 divided by 1 = 8
so x=8?

at first I added 3 to both sides at the beginning and ended up with 8 divided by 5.. which didn't seem right. So somebody check my answer please.

Answer 1

2x - 3x is NOT 1x or x

Answer 2

2x - 3x is -1x or -x

Answer 3

so after you subtract 3x from both sides, you should have

18 = -x+10

Answer 4

so 18 minus 10 would be 8
then it would be x=8?

Answer 5

but remember that we have -x instead of x

Answer 6

so

-x = 8

but we want x

Answer 7

so -8?

Answer 8

good, x = -8

Answer 9

plug that into either equation to find y

Answer 10

y=-6? :)

Answer 11

very good

Answer 12

thank you! :)

Answer 13

sure thing