# Write Two Solutions of the Form X = 0, Y = a and X = B, Y = 0 for the Following Equation : 2𝑥 + 3𝑦 = 24 - Mathematics

Write two solutions of the form x = 0, y = a and x = b, y = 0 for the following equation :

2𝑥 + 3𝑦 = 24

#### Solution

Given that

2𝑥 + 3𝑦 = 24

Substituting x = 0 in the given equation

2𝑥 + 3𝑦 = 24  . We get

⇒ 2 × 0 + 3y = 24

⇒ 3 y = 24

⇒ y = 24/3 = 8

Thus, x = 0 and y = 8 is a solution of 2 x + 3y = 24

Substituting y = 0 in 2𝑥 + 3𝑦 = 24 , We get 2𝑥 + 3×0 = 24

⇒ 2x = 24

⇒ x = 24 /2 = 12

Thus x = 12  and y = 0 is a solution of 2𝑥 + 3𝑦 = 24

Thus x = 0 , y = -8 and x = 12, y =0 are two solutions of 2𝑥 + 3𝑦 = 24

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 2.3

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