One number is 4 times another number. The sum of their reciprocals is 5. What are the two numbers?

The two number are:

Step-by-step explanation:

Given that one number is 4 times another number, the first equation is

Next, the sum of their reciprocals is 5, so

Now, we have the system of equations

Let us solve the system of equations

substitute y = 4x in the equation

Least Common Multiple of x, 4x:  4x

Adjust fractions based on L.C.M

Multiply both sides by 4x

Simplify

switch sides

Divide both sides by 20

Simplify

For y = 4x, substitute

Therefore, the two number are:

Verification:

substituting

L.H.S = R.H.S

and

substituting

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

it's both, now can you answer my most recent question?