Question

1. \six more than one third of a number is three.\ translate and solve each equation. sho

Explanation:

Step1: Define the variable

Let the number be \( x \). "One third of a number" translates to \( \frac{1}{3}x \). "Six more than one third of a number" translates to \( \frac{1}{3}x + 6 \). The problem states this is equal to 3 (assuming the intended equation is "Six more than one third of a number is three" as the text seems to cut off but the number 3 is visible). So the equation is \( \frac{1}{3}x + 6 = 3 \).

Step2: Subtract 6 from both sides

Subtract 6 from each side to isolate the term with \( x \): \( \frac{1}{3}x + 6 - 6 = 3 - 6 \), which simplifies to \( \frac{1}{3}x = -3 \).

Step3: Multiply both sides by 3

Multiply both sides by 3 to solve for \( x \): \( 3\times\frac{1}{3}x = -3\times3 \), so \( x = -9 \).

Answer:

The number is \(-9\) (assuming the equation is \(\frac{1}{3}x + 6 = 3\) from the given context).