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

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

the image of (6, 9) under a dilation is (4, 6). the scale factor is