SOLUTION: Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y). 5x + y = 1 3x + 2y = 2

Algebra ->  Coordinate-system -> SOLUTION: Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y). 5x + y = 1 3x + 2y = 2      Log On


   

Question 651432: Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y).
5x + y = 1
3x + 2y = 2
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

5x+%2B+y+=+1.....1
3x+%2B+2y+=+2....2
____________________________

5x+%2B+y+=+1.....1...solve for y
y+=+1-5x....1a...plug it in 2
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3+%2B+2%281-5x%29+=+2....2
3%2B2-+10y+=+2...solve for x
5-+10y+=+2
5%2B2+=+10y
7+=+10y
7%2F10+=+y
highlight%280.7+=+y%29
now find x
5x+%2B+y+=+1.....1
5x+%2B+0.7+=+1
5x+=+1-0.7
5x+=+0.3
x+=+0.3%2F5
highlight%28x+=+0.06%29





Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y).
5x + y = 1
3x + 2y = 2
------------------
5x + y = 1 --> y = 1 - 5x
3x + 2y = 2
Sub for y in the 2nd eqn
3x + 2(1-5x) = 2
3x + 2 - 10x = 2
-7x = 0
x = 0
============
y = 1 - 5x
y = 1