One number is 4 more than 5 times another number. If 6 is added to each, the first resulting number is three times the second resulting number. Find the two numbers.

 4, 24

Step-by-step explanation:

Set smaller number as x, and y be the larger number.

Through the questions, we can get the equation:

                                 y = 5x + 4

(5x + 4) + 6 = 3(x + 6)         [5x+4 is the first resulting number according to the                      question.]

5x + 10 = 3x + 18                [Minus 2 from both side]

2x + 10 = 18                        [Minus 10 from both side]

2x = 8                                 [Divide 2 from both side]

x = 4

Plug in x = 4 to the equation, y = 5x + 4

y = 5x + 4

  = 5(4) + 4

  = 24

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

the answer is d

step-by-step explanation: