Exercise 4 Page 265

To graph the equation - 3=4x+1, we will create two functions out of the left- and right-hand sides of the equation. f(x)=- 3 and g(x)=4x+1 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.

- 3=4x+1

SubEqn

LHS-1=RHS-1

- 4=4x

DivEqn

.LHS /4.=.RHS /4.

- 1=x

RearrangeEqn

Rearrange equation

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.

- 3=4x+1

Substitute

x= - 1

- 3? =4( - 1)+1

MultPosNeg

a(- b)=- a * b

- 3? =- 4+1

AddTerms

Add terms

- 3=- 3 ✓