Let's look at the first equation
Multiply both sides of the first equation by the LCD 4
Distribute
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Let's look at the second equation
Multiply both sides of the second equation by the LCD 3
Distribute
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So our new system of equations is:
In order to graph these equations, we need to solve for y for each equation.
So let's solve for y on the first equation
Start with the given equation
Add to both sides
Rearrange the equation
Divide both sides by
Break up the fraction
Reduce
Now lets graph (note: if you need help with graphing, check out this solver)
Graph of
So let's solve for y on the second equation
Start with the given equation
Subtract from both sides
Rearrange the equation
Divide both sides by
Break up the fraction
Reduce
Now lets add the graph of to our first plot to get:
Graph of (red) and (green)
From the graph, we can see that the two lines intersect at the point (,) (note: you might have to adjust the window to see the intersection) |