Question

Which of the following equation is not a linear equation?

• A. 2+3x=y-5
• B. 3-x=y2+7
• C. x+3y=2y-x
• D. 5x+2y=0

Answer 1

The Correct Option is B

To solve this question, we need to identify which of the given equations is not a linear equation.

1. Understanding Linear Equations:
A linear equation in two variables is an equation of the form:
\[ Ax + By = C \] where \( A \), \( B \), and \( C \) are constants, and the powers of the variables \( x \) and \( y \) are both 1.

2. Checking Each Option:

• (1) \( 2 + 3x = y - 5 \) → Rearranged: \( 3x - y = -7 \) → Linear ✔
• (2) \( 3 - x = y^2 + 7 \) → Rearranged: \( -x - y^2 = 4 \) → Contains \( y^2 \), so not linear ❌
• (3) \( x + 3y = 2y - x \) → Rearranged: \( 2x + y = 0 \) → Linear ✔
• (4) \( 5x + 2y = 0 \) → Already in linear form ✔

Final Answer:
The correct answer is (B) because it contains \( y^2 \), which makes it a nonlinear equation.