Find a pair of numbers that is a member of both - 1y-1x=3 and - 6x-5y=24

The value of y is equal to 6, and the value of x is equal to - 9

Okay, so this is known as a system of equations.

Also, putting a 1 in front of a variable is unnecessary, as that is a given.

-y - x = 3

-6x - 5y = 24

In the first equation, add x to both sides.

-y = 3 + x

Multiply all terms by - 1.

y = - 3 - x

Now that we have a value of y we can plug it into the second equation to solve for x.

-6x - 5 (-3 - x) = 24

Distributive property.

-6x + 15 + 5x = 24

Combine like terms.

-x + 15 = 24

Multiply all terms by - 1.

x - 15 = - 24

Add 15 to both sides.

x = - 9

Now that we have a value for x, we can plug it into the first equation to solve for y.

y = - 3 - (-9)

y = - 3 + 9

y = 6