Question 948239: Solve the system using substitution. Make sure to show your work for full credit.
2x = 3y
x + 2y = 7 Found 3 solutions by rothauserc, Alan3354, amarjeeth123:Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! We are given
2x = 3y
x + 2y = 7
solve second equation for x
x = -2y +7
now substitute for x in first equation
2(-2y+7) = 3y
-4y+14 = 3y
7y = 14
y = 2
x = -2(2) +7
x = -4 +7 = 3
therefore x=3, y=2
check answer in first equation
2(3) = 3(2)
6 = 6
our answer checks
You can put this solution on YOUR website! 2x = 3y
x + 2y = 7 times 2 --> 2x + 4y = 14
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2x + 4y = 14 Sub 3y for 2x
3y + 4y = 14
7y = 14
y = 2
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x = 3
You can put this solution on YOUR website! 2x = 3y..........equation 1
x + 2y = 7........equation 2
Multiplying equation 2 by 2 we get,
2x+4y=14..........equation 3
Substituting 1 in 3 we get,
3y+4y=14
7y=14
y=2
x=3
The solution is (3,2).
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