Question

Use substitution to solve this.
x+2y=6
3x+6y=8

Answer 1

first step is to isolate x in `x+2y=6`

doing so gives you `x = -2y+6`

-------------------------------------

then you move onto the other equation and replace every 'x' you see with '-2y+6'

so 3x+6y=8 turns into 3(-2y+6)+6y = 8

notice how the x's are now gone which means you can solve for y. Tell me what you get when you do so

Answer 2

ok im doing the math now

Answer 3

y=-4

Answer 4

what does 3(-2y+6) turn into when you distribute?

Answer 5

-6y+18

Answer 6

so
3(-2y+6)+6y = 8
turns into
-6y+18+6y = 8

Answer 7

yes

Answer 8

on the left side we have -6y and +6y as like terms. They combine to what?

Answer 9

0

Answer 10

so the y terms go away completely leaving us with 18 = 8 but this equation is always false

so there are no solutions to this system

Answer 11

thanks

Answer 12

no problem