Question

solve for x and y . 43x+67y =-24,67x + 43 y =24

Answer 1

Hi there !

$x = 1 \\ \\ y = - 1$

Look at the attachment.⬆️

Thanks .

Answer 2

Adding both: 

→ 43x + 67y + 67x + 43y = - 24 + 24

→ 110x + 110y = 0

→ 110(x + y) = 0

→ x + y = 1 → x = - y

Subtract:

→ (43x - 67y) - (67x - 43y) = - 24 - 24

→ 43x - 67y - 67x + 43y = - 24 - 24

→ 43x - 67x - 67y + 43y = - 48

→ 24x - 24y = - 48

→ 24(x - y) = - 48

→ x - y = - 2

→ - y - y = - 2 {x = - y}

→ y = 1

Hence,

x = - y = - (1) = - 1

Therefore, x = - 1, and, y = 1