Question

Cramer's Rule:
(1) 4x + 3y = 8
6x + 7y = 17​

Answer 1

Answer:

$4x + 3y = 8 \\ </p><p>6x + 7y = 17 \\ \\ from \: equation \: 1 \\ y = \frac{8 - 4x}{3} \\ \\ substituting \: the \: value \: of \: y \: in \: equation \: 2 \\ 6x + \frac{7(8 - 4x)}{3} = 17 \\ \frac{18x + 56 - 28x}{3} = 17 \\ 56 - 10x = 17 \times 3 \\ - 10x = 51 - 56 \\ - x = - \frac{5}{10} \\ x = \frac{1}{2} \\ \\ y = \frac{8 - 4x}{3} = \frac{8 - 4 \times \frac{1}{2} }{3} \\ \\ = \frac{8 - 2}{3} = \frac{6}{3} = 2$