Question

A zoologist observes two sloths sitting in a tree at different heights. Both sloths start climbing at the same time. They stop after x minutes and she notes one sloth's height in the tree is 12x + 4) meters and the other's height is x + 3 meters. How many values of x make the equation 312x + 4) = x + 3 true? TRY IT Math Toolkit algebra tiles

Answer 1

Step-by-step explanation: yes

Answer 2

no solution

Step-by-step explanation

`(1)/(2)(2x+4)=x+3`

Step 1

Multiply both sides by 2

`\begin{gathered} (1)/(2)(2x+4)=x+3 \\ (1)/(2)(2x+4)\cdot2=(x+3)\cdot2 \\ 2x+4=2x+6 \\ \text{subtract 2x in both sides} \\ 2x+4-2x=2x+6-2x \\ 4=6,\text{ False} \end{gathered}`

it means there is not value for x such satisfies the equation