Which of the following equations has the solution of (2, -3) ? A) 2x

1.	Which of the following equations has the solution of (2, -3) ? A) 2x – 3y = 10 B) 2x + 3y = -13 C) 2x – 3y = 13 D) 2x + 3y = 13
Answer» Correct option is (C) 2x – 3y = 13 (A) Put x = 2 & y = -3 in equation 2x – 3y = 10, we get \(2\times2-3\times-3\) = 4+9 = 13 \(\neq\) 10 (Not satisfied) \(\therefore\) (2, -3) is not a solution of 2x – 3y = 10. (B) Put x = 2 & y = -3 in equation 2x + 3y = -13, we get \(2\times2+3\times-3\) = -13 \(\Rightarrow\) 4 - 9 = -13 \(\Rightarrow\) -5 = -13 (Not satisfied) \(\therefore\) (2, -3) is not a solution of equation 2x + 3y = -13. (C) Put x = 2 & y = -3 in equation 2x – 3y = 13, we get \(2\times2-3\times-3\) = 13 \(\Rightarrow\) 4+9 = 13 \(\Rightarrow\) 13 = 13 (Satisfied) Hence, (2, -3) is a solution of equation 2x – 3y = 13. (D) Put x = 2 & y = -3 in equation 2x + 3y = 13, we get \(2\times2+3\times-3=13\) \(\Rightarrow\) 4 - 9 = 13 \(\Rightarrow\) -5 = 13 (Not satisfied) \(\therefore\) (2, -3) is not a solution of equation 2x + 3y = 13. Correct option is C) 2x – 3y = 13

Which of the following equations has the solution of (2, -3) ? A) 2x – 3y = 10 B) 2x + 3y = -13 C) 2x – 3y = 13 D) 2x + 3y = 13

Answer»

Correct option is (C) 2x – 3y = 13

(A) Put x = 2 & y = -3 in equation 2x – 3y = 10, we get

\(2\times2-3\times-3\) = 4+9 = 13 \(\neq\) 10 (Not satisfied)

\(\therefore\) (2, -3) is not a solution of 2x – 3y = 10.

(B) Put x = 2 & y = -3 in equation 2x + 3y = -13, we get

\(2\times2+3\times-3\) = -13

\(\Rightarrow\) 4 - 9 = -13

\(\Rightarrow\) -5 = -13 (Not satisfied)

\(\therefore\) (2, -3) is not a solution of equation 2x + 3y = -13.

(C) Put x = 2 & y = -3 in equation 2x – 3y = 13, we get

\(2\times2-3\times-3\) = 13

\(\Rightarrow\) 4+9 = 13

\(\Rightarrow\) 13 = 13 (Satisfied)

Hence, (2, -3) is a solution of equation 2x – 3y = 13.

(D) Put x = 2 & y = -3 in equation 2x + 3y = 13, we get

\(2\times2+3\times-3=13\)

\(\Rightarrow\) 4 - 9 = 13

\(\Rightarrow\) -5 = 13 (Not satisfied)

\(\therefore\) (2, -3) is not a solution of equation 2x + 3y = 13.

Correct option is C) 2x – 3y = 13