Question

solve the following equation by Cramer's rule 6x-3y= -10 ; 3x+5y=8

Answer 1

here's how you solve it

Answer 2

Answer:

$6x - 3y = - 10 \ \\ d = |6 -3 | \\ \: \: \: \: \: \: \: \: | \: 3 \: \: \:5 \\ \\ = 6 \times 5 - 3( - 3) \\ = 30 - ( - 9) \\ 39 \\ \\ dx = |- 10 - 3| \\ \: \: \: \: \:| \: \: 8 \: \: \: \: \: 5 \: \: \: \: | \\ = ( - 10) \times 5 - 8 \times ( - 3) \\ = -50 + 24 \\ = - 26$

$dy = |6 - 10 | \\ \: \: \: \: \: \: \: \: \: \: |3 \: \: \: \: \: \: 8| \\ = 8 \times 6( - 10) \times 3 \\ = 48 - ( - 30) \\ 78$

x = Dx/ D = Dy/D

= -26/36 = 78/39

x = -2 / 3 y y = 2