Exercise 9 Page 265

To graph the equation x+5=- 2x-4, we will create two functions out of the left- and right-hand sides of the equation. f(x)=x+5 and g(x)=- 2x-4 The x-coordinate where the graphs of these functions intersect is the solution to our equation.

The graphs intersect at x=- 3, which is our solution. We can verify this algebraically by solving the equation.

x+5=- 2x-4

AddEqn

LHS+2x=RHS+2x

3x+5=- 4

SubEqn

LHS-5=RHS-5

3x=- 9

DivEqn

.LHS /3.=.RHS /3.

x=- 3

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.

x+5=- 2x-4

Substitute

x= - 3

- 3+5? =- 2( - 3)-4

MultNegNegOnePar

- a(- b)=a* b

- 3+5? =6-4

AddSubTerms

Add and subtract terms

2=2 ✓