Question

Find the values of x and y by adding and subtracting following pair of lines:

x + y = 8

x - y = 5

• A. $\frac{3}{2},\frac{3}{2}$
• B. $\frac{15}{2},\frac{1}{2}$
• C. $\frac{13}{2},\frac{3}{2}$
• D. None of these

Answer 1

The correct option is C

$\frac{13}{2},\frac{3}{2}$

$x+y=8$ ___(1)

$x-y=5$ ___(2)

On adding, we get

$2x=13$

$x=\frac{13}{2}$

On subtracting, we get

$2y=3$

$y=\frac{3}{2}$