Question

2/3(x-6y)-1/3(2x-y)=

Answer 1

$\frac{2}{3}( x-6y)- \frac{1}{3}(2x-y)= \frac{2}{3}x-4y- \frac{2}{3}x+ \frac{1}{3}y=-4y+ \frac{1}{3} y= - \frac{11}{3} y$

Answer 2

To simplify the expression 2/3(x-6y) - 1/3(2x-y), let's perform the necessary calculations step by step:

Step 1: Distribute the coefficients to the terms inside the parentheses: 2/3(x) - 2/3(6y) - 1/3(2x) + 1/3(y)

Step 2: Simplify each term: (2/3)x - (12/3)y - (2/3)x + (1/3)y

Step 3: Combine like terms: [(2/3)x - (2/3)x] + [(-12/3)y + (1/3)y]

The terms (2/3)x and -(2/3)x cancel each other out, leaving us with: 0 + [(-12/3)y + (1/3)y]

Simplifying further: (-12/3 + 1/3)y

Step 4: Combine the coefficients: (-11/3)y

Therefore, the simplified expression 2/3(x-6y) - 1/3(2x-y) is (-11/3)y.