Combine like terms to create an equivalent expression.

1112−16q+56q−13\dfrac{11}{12}-\dfrac16q+\dfrac56q-\dfrac13

12

11



−

6

1



q+

6

5



q−

3

1



start fraction, 11, divided by, 12, end fraction, minus, start fraction, 1, divided by, 6, end fraction, q, plus, start fraction, 5, divided by, 6, end fraction, q, minus, start fraction, 1, divided by, 3, end fraction

Question..

Combine like terms to create an equivalent expression.

½ −⅙q +⅚q - ⅓

½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙

Step-by-step explanation:

Given

½ −⅙q +⅚q - ⅓

Required

Equivalence

½ −⅙q +⅚q - ⅓

We start by collecting like terms.

⅚q - ⅙q + ½ - ⅓

Factorize

(⅚ - ⅙)q + ½ - ⅓

((5 - 1)/6)q + ½ - ⅓

(4/6)q + ½ - ⅓

Reduce 4/6 to lowest term

⅔q + ½ - ⅓

Evaluate fraction

⅔q + (3 - 2)/6

⅔q + ⅙

Hence, ½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙

x + y = 25

x - y = 7

2x = 32

x = 16

y = 25 - 16 = 9