Question

please help solve the system using substitution, explain your steps for full credit. actually want to learn the steps not just the answer.
3x-4y=10 2y=2x-6

medal given

Answer 1

pick whichever looks simpler to you and solve for one variable in terms of the other.

then substitute that into the other equation to explicitly solve for one variable.

Answer 2

using substitution means "solve" for one of the variables as a first step.

Example:
2y=2x-6 (is one of your equations)
what happens if we divide both sides by 2 (that means divide *all terms* by 2)

2y/2 = 2x/2 - 6/2

can you simplify each term ?

Answer 3

can you simplify
\[ \frac{2y}{2} = \frac{2x}{2} - \frac{6}{2} \]
or is it a mystery ?

Answer 4

can you simplify 6/2 ?

Answer 5

thank you. I now understand,

Answer 6

when you get the answer, please post it.

Answer 7

I sure will, have to go to work, but will work on it tomorrow.p.s to finish the problem I just plug the answer back into the other problem?

Answer 8

"just plug" yes, it is easy if you know how to do this... but hard if you don't.
And (because it was not obvious to you how to solve for y in the 2nd equation) I am guessing it is a difficult problem for you. But post what you get and we will help you.

Answer 9

thanks