Answer :
To solve the equation [tex]\(\frac{x}{6} = 3\)[/tex], follow these steps:
1. Identify the equation: We start with the equation [tex]\(\frac{x}{6} = 3\)[/tex].
2. Isolate the variable: To find the value of [tex]\(x\)[/tex], we need to get [tex]\(x\)[/tex] by itself on one side of the equation. In this equation, [tex]\(x\)[/tex] is currently divided by 6. To isolate [tex]\(x\)[/tex], we need to eliminate the division by 6.
3. Multiply both sides by 6: To get rid of the denominator (which is 6), multiply both sides of the equation by 6:
[tex]\[ \left(\frac{x}{6}\right) \times 6 = 3 \times 6 \][/tex]
4. Simplify the equation: On the left side, the 6 in the numerator and the 6 in the denominator cancel each other out, leaving:
[tex]\[ x = 18 \][/tex]
5. Conclusion: The solution to the equation [tex]\(\frac{x}{6} = 3\)[/tex] is [tex]\(x = 18\)[/tex].
Thus, place the number 18 in the provided answer box.
1. Identify the equation: We start with the equation [tex]\(\frac{x}{6} = 3\)[/tex].
2. Isolate the variable: To find the value of [tex]\(x\)[/tex], we need to get [tex]\(x\)[/tex] by itself on one side of the equation. In this equation, [tex]\(x\)[/tex] is currently divided by 6. To isolate [tex]\(x\)[/tex], we need to eliminate the division by 6.
3. Multiply both sides by 6: To get rid of the denominator (which is 6), multiply both sides of the equation by 6:
[tex]\[ \left(\frac{x}{6}\right) \times 6 = 3 \times 6 \][/tex]
4. Simplify the equation: On the left side, the 6 in the numerator and the 6 in the denominator cancel each other out, leaving:
[tex]\[ x = 18 \][/tex]
5. Conclusion: The solution to the equation [tex]\(\frac{x}{6} = 3\)[/tex] is [tex]\(x = 18\)[/tex].
Thus, place the number 18 in the provided answer box.