Find two numbers if their ratio is 4: 7 and their difference is 123.

The two numbers are -164 and -287

They could also be 164 and 287

Step-by-step explanation:

The ratio of 2 numbers 4/7  

x/y = 4/7

Using cross products

7x =4y

Their difference is 123

x-y = 123

x = 123+y

Substituting in

7(123+y) =4y

Distribute

861 +7y = 4y

Subtract 7y from each side

861 +7y-7y = 4y-7y

861 = -3y

Divide each side by -3

861/-3 = -3y/-3

-287 = y

Now we need to find x

x = 123+y

x = 123+ -287

x = -164

The numbers could also be 164 and 287

The difference is 287-164 = 123

And the ratio is 164/287 = 4/7

Step-by-step explanation:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: