Question

Solve:
$x+y=3$
$2x+3y=7$

• A. x = 2, y = 1
• B. x = 1, y = 2
• C. x = 3, y = 2
• D. Insufficient data
• E. None of the above

Answer 1

The correct option is A x = 2, y = 1

x + y = 3 ..... (1)
2x + 3y = 7 ...... (2)
y = 3 - x [From Equation (1)];
$\therefore$ 2x + 3(3 - x) = 7 $\Rightarrow$ 2x + 9 - 3x = 7
$\Rightarrow$ -x = - 2, i.e., x = 2
and, y = 3 - 2 = 1
$\therefore$ x = 2 and y = 1