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

Sagot :

Answer:

y = [tex]\frac{13}{28}[/tex]

Step-by-step explanation:

Given

7y - 2 [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( change the mixed number to an improper fraction )

7y - [tex]\frac{11}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( multiply through by 4 to clear the fractions )

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

28y = 13 ( divide both sides by 28 )

y = [tex]\frac{13}{28}[/tex]

malayia49
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
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