Question

3/2x+5y=650;2x+7y=880​

Answer 1

Answer:

we can do this in any method. ill do it in substitution method.

$\frac{3}{2} x + 5y = 650 \: \: \: \: \: \: \: \: \: (1)\\ 2x + 7y = 880 \: \: \: \: \: \: \: \: \: \: (2)$

from (2) we get

2x=880-7y

$x = \frac{880- 7y}{2} \: \: \: \: \: \: \: \: \: (3)$

substituting (3) in (1) we get

$\frac{3}{2} ( \frac{880 - 7y}{2}) + 5y = 650 \\ = \frac{2640 - 21y}{4} + \frac{5y}{1} = 650 \\ = \frac{2640 - 21y + 20y}{4} = 650 \\ = 2640 - y = 2600 \\ = - y = - 40 \\ y = 40$

substituting the'y' value in equation (2) we get

$2x + 7(40) = 880 \\ = 2x =880 - 280 \\x = \frac{600}{2} = 300$

the values of 'x' and 'y' are 300 and 40 respectively.