SOLUTION: The question is Solve the following system of equations using the substitution method. Check your answer. {{{ 3 = 5x - 3y + 10}}} {{{ y = 2x + 4}}} I'm not sure how to do

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: The question is Solve the following system of equations using the substitution method. Check your answer. {{{ 3 = 5x - 3y + 10}}} {{{ y = 2x + 4}}} I'm not sure how to do       Log On

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Question 158341: The question is Solve the following system of equations using the substitution method. Check your answer.

+3+=+5x+-+3y+%2B+10
+y+=+2x+%2B+4
I'm not sure how to do substitution, so if you could tell me were everything is coming from it would be a great help.
Answer by Earlsdon(6287) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by "substitution" means yo have to eliminate one of the variables (x or y) by substituting the other variable (y or x) into one of the two equations.
It's easier to demonstrate the process:
3+=+5x-3y%2B10
y+=+3x%2B4 Substitute this for y in the 1st equation.
3+=+5x-3%283x%2B4%29%2B10 Simplify and so;vefor x.
3+=+5x-9x-12%2B10
3+=+-4x-2 Add 4x to both sides.
4x%2B3+=+-2 Subtract 3 from both sides.
4x+=+-5 Divide both sides by 4.
x+=+-5%2F4 Now substitute this into either equation and solve for y.