Question

The solution of the following pair of equations:

2x + 3y = 11 and 2x - 4y = -24 is ___.

Write your answer in the form (x, y)

• A. (-2, 5)
• B. (3, 5)
• C. (2, 5)
• D. (5, 3)

Answer 1

The correct option is A

(-2, 5)

Given that,
2x + 3y = 11 ____(1)
2x - 4y = -24 ___(2)

Subtracting equation (2) from (1), we get
$\Rightarrow$7y = 35
$\Rightarrow$y = 5

Plugging this value in equation (1), we get
$\Rightarrow$2x + 3(5) = 11
$\Rightarrow$2x + 15 = 11
$\Rightarrow$2x = -4
$\Rightarrow$x = -2

Thus, the solution is (-2, 5).