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.

Answer 1

Let's solve your equation step-by-step.

1

3

x−2=x+2

Step 1: Subtract x from both sides.

1

3

x−2−x=x+2−x

−2

3

x−2=2

Step 2: Add 2 to both sides.

−2

3

x−2+2=2+2

−2

3

x=4

Step 3: Multiply both sides by 3/(-2).

(

3

−2

)*(

−2

3

x)=(

3

−2

)*(4)

x=−6

Answer:

x=−6