SOLUTION: Trying to help my daughter (6th grader) 2x-7+3y=9+2y+8 x=___ y=____?

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Question 535482: Trying to help my daughter (6th grader)
2x-7+3y=9+2y+8
x=___ y=____?

Found 2 solutions by mananth, oberobic:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
2x-7+3y=9+2y+8
Since there is only one equation the absolute values cannot be calculated
Make x the subject
Keep x on the lefthand side and shift all terms to the right hand side of the equation
When you shift any term to the other sideof the equation the sign becomes opposite
2x=7-3y+9+2y+8
group the like terms
2x=7+9+8-3y+2y
2x=24-y
divide by 2
x= 12 - y/2
For y
make y the subject
Follow the same steps as in x
2x-7+3y=9+2y+8
3y-2y= -2x+7+9+8 ( 2y has shifted to the left side and its sign has changed)
y=-2x+24
x=___ y=____?
m.ananth@hotmail.ca

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
2x-7+3y=9+2y+8
.
Subtract 2y from both sides
.
2x -7 +y = 9+8
.
Add 7 to both sides
.
2x + y = 17+7 = 24
.
Subtract 2x from both sides
.
y = -2x +24
.
The equation now is in slope-intercept form: y = mx+b
.
y-intercept = (0,24)
.
x-intercept = (12,0)
.
With two lines you can draw a line.
.
+graph%28500%2C500%2C-5%2C25%2C-5%2C25%2C-2%2Ax%2B24%29+