Which of the following is not a linear equation ? A) 5 + 4x = y + 3

1.	Which of the following is not a linear equation ? A) 5 + 4x = y + 3 B) x + 2y = y – x C) 3 – x = y2 + 4D) x + y = 0
Answer» Correct option is (C) 3 – x = y² + 4 (A) 5 + 4x = y + 3 \(\Rightarrow\) 4x - y + 5 - 3 = 0 \(\Rightarrow\) 4x - y + 2 = 0 which is a linear equation. (B) x + 2y = y – x \(\Rightarrow\) x + 2y - y + x = 0 \(\Rightarrow\) 2x + y = 0 which is a linear equation. (C) \(3 – x = y^2 + 4\) \(\Rightarrow\) \(y^2+4-3+x=0\) \(\Rightarrow\) \(y^2+x+1=0\) which is not a linear equation. (D) x + y = 0 is a linear equation. Correct option is C) 3 – x = y² + 4

Which of the following is not a linear equation ? A) 5 + 4x = y + 3 B) x + 2y = y – x C) 3 – x = y2 + 4D) x + y = 0

Answer»

Correct option is (C) 3 – x = y² + 4

(A) 5 + 4x = y + 3

\(\Rightarrow\) 4x - y + 5 - 3 = 0

\(\Rightarrow\) 4x - y + 2 = 0 which is a linear equation.

(B) x + 2y = y – x

\(\Rightarrow\) x + 2y - y + x = 0

\(\Rightarrow\) 2x + y = 0 which is a linear equation.

(C) \(3 – x = y^2 + 4\)

\(\Rightarrow\) \(y^2+4-3+x=0\)

\(\Rightarrow\) \(y^2+x+1=0\) which is not a linear equation.

(D) x + y = 0 is a linear equation.

Correct option is C) 3 – x = y² + 4