Question 323807
"y varies inversley with x" means that {{{y=k/x}}} where 'k' is some number.



Plug in x = -12 and y = 5 to get {{{5=k/(-12)}}} and solve for k to get {{{k=-60}}}



So the equation is {{{y=-60/x}}}. Now plug in y=10 to get {{{10=-60/x}}}, multiply both sides by x to get {{{10x=-60}}} and divide both sides by 10 to solve for x: {{{x=-60/10=-6}}}



So {{{x=-6}}} when {{{y=10}}}