Question

Solve the equation 1/2y - 21/4 = 35/4 for y. Identify the sequence of operations used to solve the equation.

Answer 1

Answer:

y = 1/28

Step-by-step explanation:

Given the expression:

½y - 21/4 = 35/4

We'll have to Multiply through with the LCM which is (2y * 4 = 8y)

(8y) ½y - (8y) 21/4 = (8y) 35/4

4 - 2y * 21 = 2y * 35

4 - 42y = 70y

4 = 70y + 42y

4 = 112y

Divide through by 112 to make y the subject.

y = 4 / 112

y = 1 / 28

Answer 2

Answer: y = 28

Step-by-step explanation:

Add both sides by 21/4 to cancel out the 21/4 on the left side. 1/2y = 56/4

You can rewrite the fraction 56/4 as 28/2 by dividing the numerator and denominator by 2. 1/2y = 28/2

Multiply both sides by 2 and you get y = 28