Posted by **Christian** on Monday, October 22, 2007 at 9:09pm.

I need help with this problem because I do not have a graphing calculator.

Explain how you would solve this equation using your graphing calculator in five steps then give the solution.

2x- 3y=8

5x+ 4y= 11

Also how do you determine how many solutions a system of equations has without solving the system?

- Algebra 2 -
**jennifer**, Tuesday, October 23, 2007 at 2:39am
There are three possible solutions for system of equation.

1. zero, same slope different y intercept (two lines are parallel)

2. one, which means the two lines intersect once ( different slope & y- intercept )

3. infinite, which means the two line have the same slope and y-intercept.

you don't have to solve the system of equation but you have to get y by itself so that you know what the slope and y-intercept are.

2x-3y=8 ---> y=-2/3x-8/3

5x+4y=11 ---> y=-5/4x+11/4

there is one solution because these two equation have different slope and y-intercept

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