3x + y = 12- - - - - - - -Equation 1
2x - y = 18- - - - - - - - Equation 2
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5x = 30
5x / 5 = 30 / 5
x = 30 / 5
x = 6
Insert the x value into equation 1
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3x + y = 12
3(6) + y = 12
18 + y = 12
18 + y - 18 = 12 - 18
y = - 6
Insert the y value into equation 1
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Check for equation 1
3x + y = 12
3(6) + (- 6) = 12
18 - 6 = 12
12 = 12
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Check for equation 2
2x - y = 18
2(6) - ( - 6) = 18
12 + 6 = 18
18 = 18
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Both equation balance
The solution set is { 6, - 6 }
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2007-05-19 06:19:55
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answer #1
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answered by SAMUEL D 7
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first solve each equation for y and set them equal to each other so 12 - 3x = 2x - 18
add 3x to each side, 12 = 5x - 18
add 18 to each side, 30 = 5x
divide by 5,
so x = 6
2007-05-19 12:54:04
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answer #2
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answered by Spunk 2
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we have:
3x + y = 12 (1)
2x - y = 18 (2)
we do the respecting operations in (1) and (2):
adding 3x and 2x:
3x + 2x = 5x
Substracting the y's:
y - y = 0
adding 12 and 18
12 + 18 = 30
Then:
5x = 30
isolating x:
x = 30/5
x = 6
2007-05-19 12:53:07
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answer #3
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answered by Rafael Mateo 4
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x=6
2007-05-19 13:34:37
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answer #4
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answered by Danny 4
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3x+y=12
2x-y=18
Just add the two equations getting:
5x = 30
x = 6
Isn't it nice that the y terms dropped out?
2007-05-19 12:53:12
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answer #5
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answered by ironduke8159 7
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Use the addition method....
5x=30, since y negates itself.
x= 6 I think, don't forget in other problems to go back and solve for y, when it exists. (By replacing all x's in the equation with the 6 answer, you can do regular equations and solve for y.)
2007-05-19 13:36:31
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answer #6
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answered by Jackie 2
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y=12-3x
so, 2x-(12-3x)=18
then it's 2x-12+3x=18
so, 5x=30
x=6
please try to recheck
hey, why are we the ones anwering your homework? hmmm.. you have to learn yourself. i challenge you. solve for y in the same equation. :-)
2007-05-19 12:50:50
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answer #7
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answered by Anonymous
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Adding gives:-
5x = 30
x = 6
18 + y = 12
y = - 6
Solution is x = 6 , y = - 6
2007-05-19 17:50:49
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answer #8
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answered by Como 7
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add the two equations together to get y to cancel out. Once you add them, you get
5x = 30
From there, it's pretty easy to see that x = 6.
2007-05-19 12:49:25
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answer #9
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answered by sarai_kristi 4
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i think it is 4 cuz most the answers r the same so tht is my answer to that question u have asked us all
2007-05-19 12:53:28
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answer #10
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answered by Elizabeth J 1
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