Hey can someone tell me the steps to solving a system of equations with graphing
1 answer:
Answer:
Let's go through the following example to show how to solve a system of equations by graphing. I won't solve this system, I will just show how to.
<h3>
If you can use an online graphing calculator...</h3>
If you have an online grapher (like Desmos) at your disposal, then you can put each equation in it as it is.
- Lines intersect -> Put your cursor over the point of intersection to get the solution.
- Lines never intersect -> The lines are parallel and there is no solution
- Lines perfectly fall on each other -> The lines are the same and have infinite solutions
<h3>
If you have a physical graphing calculator (like TI-84)</h3>
1. Get both equations in the form by solving for y.
2. Put both equations in the graphing calculator
- Lines intersect -> Find the intersection point using your graphing calculator's mechanics (each one is a little different)
- Lines never intersect -> The lines are parallel and there is no solution
- Lines perfectly fall on each other -> The lines have the same equation and have infinite solutions
<h3>
If you just have graphing paper...</h3>
1. Get both equations into the form by solving for y.
2. Plug in a few different points for x and calculate their y-values.
3. Plot those points on the graph paper
- Lines intersect -> Find the intersection point's coordinates to get the solution for x and y.
- Lines never intersect -> The lines are parallel and there is no solution
- Lines perfectly fall on each other -> The lines have the same equation and have infinite solutions.
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