Answer:
Step-by-step explanation:
The given equations are in standard form, first write them in slope-intercept form.
"p" is the variable in the x-axis
"g" is the variable in the y-axis
First equation
[tex]4p+2g=96\\2g=96-4p\\\frac{2g}{2} =\frac{96}{2} -\frac{4p}{2} \\g=-2p+48[/tex]
Second equation
[tex]3p+1g=60\\g=60-3p \\[/tex]
Next you have to determine two points for each equation, the easiest point to determine is the y-intercept, just replace the formula with p=0
First equation
for p=0
[tex]g=-2p+48\\g=-2.0+48\\g=48[/tex]
The first point is (0,48)
For p=10
[tex]g=-2.10+48\\g=-20+48\\g=28[/tex]
The second point is (10,28)
Plot the points and link them with a line.
Second equation
For p=0
[tex]g=-3p+60\\g=-3.0+60\\g=60\\[/tex]
The first point is (0,60)
For p=10
[tex]g=-3.10+60\\g=30\\[/tex]
The second point is (10,30)
Plot both points and link them to determine the line.
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