Question

Consider the equation 1/3x−2=x+2. Write a system of linear equations using each side of the equation. Then solve the original equation by graphing the system of linear equations.

Then graph and solve for x

Answer 1

(-6,4)

Explanation:

1/3x − 2 = x + 2 is obtained by equating the following two functions:

y = (⅓)x - 2

y = x + 2

Graph:

Draw two straight lines

1) joining (0,-2) and (6,0)

2) joining (0,2) and (-2,0)

On the graph, you'll see that the above two lines intersect at: (-6,4)

Hence the solution is (-6,4)