Question

using the substitution method solve
5x+3y=8
y=-2x+1

Answer 1

So the bottom equation is already solved for y. Plug this into the first equation like so:

5x + 3(-2x+1)=8

Now get rid of the ( ) part:

5x-6x+3=8

Now combine like terms:

-x+3=8

Now solve for x:

x=-5

Answer 2

5x+3y=8
y=-2x+1

Make y the subject in the first equation.

5x+3y=8
5x-8=-3y
(-5/3)x+(8/3)=y

Substitute this into your second equation, both equal to y, both equal to eachohter.

(-5/3)x+(8/3)=-2x+1
x=-5

Once you do this you must solve for y also. Put your x value into any equation

y=-2x+1
y=-2(5)+1
y=-10+1
y=-9

Answer 3

thanks