# If X = 1 and Y = 6 is a Solution of the Equation 8x – Ay + A2 = 0, Find the Value of A. - Mathematics

If x = 1 and y = 6 is a solution of the equation 8x – ay + a2 = 0, find the value of a.

#### Solution

Given that

8x - ay + a ^2 = 0

It is given that x = 1 and y = 6 is a solution on the equation  8x - ay + a ^2 = 0

∴  8 xx 1 -a xx 6 + a^2 + 0

⇒  8 - 6 a + a^2 = 0

⇒ a^2 - 6a + 8 = 0

⇒ a^2 - 4a - 2a + 8 = 0

⇒ a (a - 4 ) ( a - 2 ) = 0

⇒ a - 4 = 0 or a -2 = 0

a - 4 = 0 or a = 2

Hence a = 4 or a = 2

Concept: Solution of a Linear Equation
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 7 Linear Equations in Two Variables
Exercise 7.2 | Q 7

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