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.

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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) About Me  (Show Source):
You can put this solution on YOUR website!
4x-3y=11+ Start with the second equation.


4%282%2By%29-3y=11+ Plug in x=2%2By


8%2B4y-3y=11+ Distribute


4y-3y=11-8+ Subtract 8 from both sides.


y=3+ Combine like terms.


x=2%2By Go back to the first equation.


x=2%2B3 Plug in y=3


x=5 Add


So the solutions are x=5 and y=3 giving us the ordered pair (5,3). These two equations intersect at the point (5,3) (if you graphed them)

Answer by brucewill(101) About Me  (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
highlight%28y+=+3%29.
Substitute the y=3 back into the first statement:
x = 2 + 3
highlight%28x+=+5%29
Verify, by substituting into original equations:
5 = 2 + 3. OK
4(5) - 3(3) = 11
20 - 9 = 11. OK.