SOLUTION: how to solve: Question: Solve The System By Substitution. x=2+y 4x-3y=11 I Have no clue what to do! Help, Pls. Thank's.

Question 291103: how to solve:

Question: Solve The System By Substitution.
x=2+y
4x-3y=11
I Have no clue what to do! Help, Pls. Thank's.
Found 2 solutions by jim_thompson5910, brucewill:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the second equation.

Plug in

Distribute

Subtract 8 from both sides.

Combine like terms.

Go back to the first equation.

Plug in

Add

So the solutions are and giving us the ordered pair (5,3). These two equations intersect at the point (5,3) (if you graphed them)
Answer by brucewill(101) (Show Source): You can put this solution on YOUR website!
When they say "by substituion", that means take isolate one variable in a sentence, and substitute that variable into the other equation. In this case, the first statement already has establish a value for x (namely 2+y), so we substitute (2+y) for x, into the second statement, and solve for y:
4(2+y) - 3y = 11
8 + 4y = 3y = 11; now, subtract 8 from both sides
4y = 3y + 3; now, subtract 3y from both sides
.
Substitute the y=3 back into the first statement:
x = 2 + 3

Verify, by substituting into original equations:
5 = 2 + 3. OK
4(5) - 3(3) = 11
20 - 9 = 11. OK.

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