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