Solve the Following Equations. - Mathematics

Sum

Solve the following equation.

"y"/7 + "(y-4)/3 = 2

Solution

"y"/7 + "(y-4)/3 = 2

Multiplying both sides by 21

⇒ 21 ("y"/7) + 21 ("y" - 4/3) = 2 x 21

⇒ 3 ("y") + 7 ("y" - 4) = 42

⇒ 3y + 7y - 28 = 42

⇒ 10y - 28 = 42

⇒ 10y - 28 + 28 = 42 + 28

⇒ 10y = 70

Dividing both sides by 10

⇒ (10"y")/10 = 70/10

⇒ y = 7

Hence, y = 7 is the solution of the equation.

Concept: Solution of Equations in One Variable
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APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 12 Equations in one variable
Practice Set 12.1 | Q 2.06 | Page 77