Solve the Following Equation: (X - 1 )(X + 6) - (X - 2)(X - 3) = 3 - Mathematics

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Sum

Solve the following equation:

(x - 1 )(x + 6) - (x - 2)(x - 3) = 3

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Solution

(x - 1 )(x + 6) - (x - 2)(x - 3) = 3

x2 - x + 6x - 6 - (x2 - 3x - 2x + 6) = 3 

⇒ x2 + 6x - x - 6 - x2 + 3x + 2x - 6 = 3

10x - 12 = 3

10x = 3 + 12

10x= 15

x = `15/10 = 3/2 = 1 1/2`

Concept: Simple Linear Equations in One Variable
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Chapter 14: Linear Equations in one Variable - Exercise 14 (A) [Page 165]

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 14 Linear Equations in one Variable
Exercise 14 (A) | Q 19 | Page 165

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