Question

Solve x/10+y/5=1 and x/8+y/6=15

Answer 1

Hey!

$\frac{x}{10} + \frac{y}{5} = 1$

$\frac{x}{8} + \frac{y}{6} = 15$

Elimination Method is better according to me :p

$10 \times \frac{x}{10} + 10 \times \frac{y}{10}$
$x + 2y = 10$

-------(1)

lly,

$24 \times \frac{x}{8} + 24 \times \frac{y}{6} = 24 \times 15$

$3x + 4y = 360$

-------(2)

$x + 2y = 10$

$- 3x - 6y = - 30$

$3x + 4y = 360$

$- 6y + 4y = - 30 + 360$

$- 2y = 330$

$y = - 165$

substituting value of y in eq.(1)

$x + 2 \times ( - 165) = 10$

$x - 330 = 10$

$x = 10 + 330$

$x = 340$

Thus
$x = 340$

$y = - 165$

Hope helped