The sum of two numbers is 15. When one of these numbers is added to three times the other, the result is 27. What are the numbers?

Set up 2 equations:

X + y = 15

X + 3y = 27

Multiply the first equation by -3:

-3x -3y = -45

Add the 2nd equation to the third one:

-2x = -18

Divide both sides by -2:

X = 9

Boy solve for y using the first equation, replacing x with 9:

9 + y = 15

Subtract 9 from both sides:

Y = 6

The two numbers are 9 and 6

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is