Question

Find the value of x+y, if 2x-3y = 21 and x +5y =24


opt

a) 42
b)46
c)52
d)68​

Answer 1

Step-by-step explanation:

$2x - 3y = 21 \\x + 5y = 24 = > x = 24 - 5y \\ 2(24 - 5y) + 5y = 24 \\ = > 48 - 10y + 5y = 24 \\ = > 48 - 24 = 10y - 5y \\ = > 5y = 24 = > y = \frac{24}{5} \\ x = 24 - 5y \\ = > x = 24 - (5 \times \frac{24}{5} ) \\ = > x = 24 - 24 = 0$