Question

7y - 2 3/4 = 1/2 solve these equation

Answer 1

Hopes this helps:

Answer: y= 13/28

1. Convert 2 3/4 to improper fraction. Use this rule: a b/c = ac+b/c.
7y - 2 • 4 + 3 / 4 = 1/2

2. Simplify 2 • 4 to 8.
7y - 8 + 3 / 4 = 1/2

3. Simplify 8 + 3 to 11.
7y - 11/4 = 1/2

4. Add 11/4 to both sides.
7y = 1/2 + 11/4

5. Simplify 1/2 + 11/4 to 13/4.
7y = 13/4

6. Divided both sides by 7.
Y= 13/4 / 7

7. Simplify 13/4 / 7 to 13 / 4 • 7.
Y = 13 / 4 • 7

8. Simplify 4 • 7 to 28.
Y= 13/28

Answer 2

y =
`(13)/(28)`

Explanation:

Given

7y - 2
`(3)/(4)` =
`(1)/(2)` ( change the mixed number to an improper fraction )

7y -
`(11)/(4)` =
`(1)/(2)` ( multiply through by 4 to clear the fractions )

28y - 11 = 2 ( add 11 to both sides )

28y = 13 ( divide both sides by 28 )

y =
`(13)/(28)`