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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

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 s class=

Respuesta :

no solution

Explanation

[tex]\frac{1}{2}(2x+4)=x+3[/tex]

Step 1

Multiply both sides by 2

[tex]\begin{gathered} \frac{1}{2}(2x+4)=x+3 \\ \frac{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}[/tex]

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

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