Exercise 8 Page 247

To graph the equation 4x=x+3, we will create two functions out of the left- and right-hand sides of the equation. f(x)=4x and g(x)=x+3 The x-coordinate where the graphs of these functions intersect is the solution to our equation.

The graphs intersect at x=1, which is our solution. We can verify this algebraically by solving the equation.

4x=x+3

SubEqn

LHS-x=RHS-x

3x=3

DivEqn

.LHS /3.=.RHS /3.

x=1

To check this solution, we will substitute it back into the given equation and simplify. If doing so results in a true statement, our solution is correct.

4x=x+3

Substitute

x= 1

4( 1)? = 1+3

IdPropMult

Identity Property of Multiplication

4? =1+3

AddTerms

Add terms

4=4 ✓