Algebra: Solving systems with Substitution and Elimination, EX:

{y=2x

3x+y=5

I'll try my best to answer this question to the best of my abilities.

3x+y=5

3x + (2x) = 5

5x=5

x=1

subsitution means subsituteing something for another and getting the answer

the way to do this is to get an easy equation and make it equal to only one placeholder so

y=2x

so you can subsitute y for 2x anywhere you see a y

3x+y=5

subsitutute

3x+2x=5

5x=5

divide both sides by 5

x=1

subsitute

y=2 (1)

y=2

elimination is when you elimintate one of the terms by adding the equations together and canceling som of them out

so y=2x

subtract y from both sides

0=2x-y or 2x-y=0

add this to the second equation

3x+2x+y-y=0+5

5x=5

divide both sides by 5

x=1

subsitute

y=2 (1)

y=2

x=1

y=2