Question

help? :)
Solve the following system using substitution.
x+3y=8
2x-y=2

Answer 1

x =8 - 3y

sub this into the other equation and solve for y

Answer 2

when I say other equation I mean

2x - y = 2

once you find y just sub the y value back into one of the equations and solve for x

Answer 3

any questions ask

Answer 4

thankyou! im just really confused on how you even got to that point? ^^^

Answer 5

I just rearranged the equation to equal to one of the variables in this case x

so
x+3y=8
=
-3y + x + 3y = 8 - 3y
=
x = 8 - 3y

now that we know what x is equal to we can sub it into the other equation and solve for y

Answer 6

understand?

Answer 7

after subbing in you get
2(8-3y) - y = 2

notice now that there is only one variable in the equation and therefore you can solve for it.

If you know what value y equals to you can use it to find x by plugging it into one of the original equations

Answer 8

Doing this we are finding the point where the two functions (lines) intersect