Question

How do you solve the system of equations `y=1/3x-3` and `2x+y=4` by graphing?

Answer 1

The answers are `x=3` and `y=-2`.

Explanation:

To solve a system of equations by graphing, graph the two individuals equations and find their intersection point. Here is the graph of our two lines:

graph{(1/3x-3-y)(2x+y-4)=0 [-3.813, 10.234, -5.536, 1.78]}

If you click on the intersection of the lines, you can see that the point where they cross is `(3, -2)`. This means that for answers for the system of equations are `x=3` and `y=-2`.

Answer 2

Plot each line on a graph paper with sufficient resolution to obtain the value of the intersection point. (3, -2).

Explanation:

Because they are both equalities and lines, they will only have ONE intersection point if there is a solution. To solve graphically, plot each one with sufficient graph resolution to determine the (x,y) pair value at the point of intersection.