Question 186085
(1) {{{8x + 3y = 0}}}
(2) {{{-x - 9y = 92}}}
Subtract {{{3y}}} from both sides of (1)
(1) {{{8x = -3y}}}
Divide both sides by {{{-3}}}
(1) {{{y = -(8/3)*x}}}
Multiply the right side by {{{3/3}}}
(1) {{{y = -(24/9)*x}}}
Substitute this in (2)
(2) {{{-x - 9y = 92}}}
(2) {{{-x - 9*(-(24/9))*x = 92}}}
(2) {{{-x + 24x = 92}}}
(2) {{{23x = 92}}}
(2) {{{x = 4}}}
And, from
(1) {{{8x + 3y = 0}}}
(1) {{{8*4 + 3y = 0}}}
(1) {{{3y = -32}}}
(1) {{{y = -(32/3)}}}
check answers:
(1) {{{8*4 + 3*(-(32/3)) = 0}}}
(1) {{{32 - 32 = 0}}}
OK
(2) {{{-4 - 9*(-(32/3)) = 92}}}
(2) {{{-4 + 96 = 92}}}
(2) {{{92 = 92}}}
OK