SOLUTION: y=5x+3 y=15x+2 solved by elimination method

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Question 1158032: y=5x+3
y=15x+2
solved by elimination method
Found 2 solutions by Theo, josmiceli:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
y = 5x + 3
y = 15x + 2
subtract the first equation from the second to get:
0 = 10x - 1
add 1 to both sides of the equation to get:
1 = 10x
divide both sides of the equation by 10 to get:
1/10 = x
replace x with 1/10 in the first equation to get:
y = 5 * 1/10 + 3
solve for y to get:
y = 5/10 + 30/10 = 35/10
replace x with 1/10 and y with 30/10 in the second equation to get:
35/10 = 15/10 + 2
leave the left side of the equation as is and evaluate the right side of the equation to get:
35/10 = 15/10 + 20/10 = 35/10
this confirms the values of x = 1/10 and y = 35/10 are good.
your solution is:
x = 1/10 and y = 35/10
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
(1)
(2)
----------------------------
Subtract (1) from (2)
(2)
(1)
---------------------------

Add to both sides

Divide both sides by

----------------------------------
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
OK
The solution is ( 1/10, 7/10 )
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