SOLUTION: Solve the following system of linear inequalities by graphing.
x + 2y =3
2x – 3y = 6
Algebra.Com
Question 126101: Solve the following system of linear inequalities by graphing.
x + 2y =3
2x – 3y = 6
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: these are not inequalities. These are equations.
Start with the given system of equations:
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
Subtract from 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 (,)
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