SOLUTION: I was working on the gavin rose project for pre-ap algebra and I'm not getting how we set the equations on the graph. (which is 80 yards by 80 yards) for example they gave us fou

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Question 948004: I was working on the gavin rose project for pre-ap algebra and I'm not getting how we set the equations on the graph. (which is 80 yards by 80 yards)
for example they gave us four equations :
3x-4y =55
3x-2y=85
3x-4y=-125
3x+2y=175
these four equations are the boundaries of the house.
i set up the first equation as :
3x-4y=55
subtracted the both sides by 3x which left me
4y=55+3x
then divided by four on each side which i got
y=55+3x/4
im not sure if this is correct but i still can't figure out where i should add it if i am correct
please help, this is due tomorrow :(

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
You did not say what you want to accomplish. You could find the intersection points for the equations, and plot these points on a cartesian coordinate system on graph paper. Your four equations are in standard form, so you can check each equation for its x and y axis intercepts to help graph each line on the same coordinate system.

Here is how to do your first equation that way.

3x-4y=55:
If x=0, then 3%2A0-4y=55
0-4y=55
-4y=55
y=-55%2F4
Point is (0,-55/4)
-
If y=0, then 3x-4%2A0=55
3x=55
x=55%2F3
Point is (55/3,0)
-
Plot those two points and draw the line.

Handle the other equations the same way, if you want to use the method for them.

Once all four equations are graphed, read the four intersection points from the graph.


ALTERNATIVE

You can also put each of the equations into slope-intercept form as you seem to have tried. You can then use the y-intercept and slope of each equation to graph its line; and do so for all four equations. The one equation you worked was apparently done incorrectly. Just solve for y...
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3x-4y=55
-4y=-3x%2B55
y=%283%2F4%29x-55%2F4-----this should be your first equation in slope-intercept form. Slope 3%2F4, y-intercept -55%2F4.