Question

The graph shows the function f(x)=−12x+26 and g(x)=−(15)−x+2+3 .

What are the solutions of the equation −12x+26=−(15)−x+2+3 ?

Answer 1

x=2 and 4

Explanation:

Answer 2

x=36/11=3.2727...

Explanation:

The solution can be found by solving for x.

First, combine like terms and simplify each side of the equation.

`-12x+26 = -(15)-x+2+3\\-12x+26 = -15-x+5\\-12x+26=-10-x`

Second, use inverse operations to move terms across the equal sign.

`-12x+26 = -10-x\\-12x+x+26=-10-x+x\\-11x+26=-10\\-11x+26-26=-10-26\\-11x=-36\\x=36/11=3.2727...`