Question

3x - 5y =16 ; x -3y =8​

Answer 1

3x-5y=16......(1). x-3y=8 ...(2)

3x=16+5y

$x = \frac{16 + 5y}{3} \: \: \: \: .........(3)$

putting the value of x in eq (2)

$\frac{16 + 5y}{3} - 3y = 8$

$16 + 5y - 9y = 24$

$16 - 4y = 24$

$- 4y = 24 - 16$

$- 4y = 8$

$y = \frac{8}{ - 4}$

$y = - 2$

putting the value of y in eqn (3)

$x = \frac{16 - 5( - 2)}{3}$

$x = \frac{16 + 10}{3}$

$x = \frac{26}{3}$

$x = 8.66666$

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