Question

1. what value of m makes the equation \\(\frac{2}{3}(m - 9)=\frac{1}{3}(m - 27)\\) true? options: -6, -1, -3, -9

Explanation:

Step1: Eliminate denominators

Multiply both sides by 3:
$$2(m-9) = 1(m-27)$$

Step2: Expand both sides

Distribute the coefficients:
$$2m - 18 = m - 27$$

Step3: Isolate m terms

Subtract $m$ from both sides:
$$2m - m - 18 = -27$$
$$m - 18 = -27$$

Step4: Solve for m

Add 18 to both sides:
$$m = -27 + 18$$
$$m = -9$$

Answer:

-9 (Option: -9)