SOLUTION: Solve the system: 2x+3y=5 3x-2y=-4

Question 476489: Solve the system: 2x+3y=5 3x-2y=-4
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Solve the System of Equations by Graphing

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 (,) (note: you might have to adjust the window to see the intersection)

RELATED QUESTIONS
Solve the following system: x-3y+4z=7 2x+3y-6z=5... (answered by stanbon)

Solve the system of equation: 3x+2y=11 2x-2y=4 Solve the system: 2x-y+2z=11... (answered by mangopeeler07)

Solve the system: 2x+3y=10... (answered by longjonsilver)

Solve the system of linear equations using the Graphing Method. 2x+y=5... (answered by haileytucki)

Solve the system of linear equations using the Graphing Method. 2x+y=5... (answered by mananth)

Using the Substitution Method, solve the system 2x + 3y = -4 x - 2y =... (answered by cutepiscean5)

Solve the given system of equations by determinants. 2x-2y-5=0... (answered by richwmiller,ikleyn)

Solve the system of equations with Cramers Rule 2x+3y+z=4 x-2y-4=0... (answered by ewatrrr)

Use the substitution method to solve each linear system. a) x-2y=7 y=-x+1 b) x+3y=5... (answered by ikleyn)