Posted by Christian on .
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,
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 yintercept.
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 yintercept are.
2x3y=8 > y=2/3x8/3
5x+4y=11 > y=5/4x+11/4
there is one solution because these two equation have different slope and yintercept