Answered

Makakuha ng kaugnay na sagot sa lahat ng iyong katanungan sa IDNStudy.com. Makakuha ng impormasyon mula sa aming mga eksperto, na nagbibigay ng maaasahang sagot sa lahat ng iyong mga tanong.

The difference of the two integers is 9. five times the smaller is 9 more than three times the larger. find the integers.

Sagot :

Nvenicepaulaidn
larger number = 27

smaller number = 18
Alvedeguzidn
Simple math

Let x be the smaller integer and y the larger integer

So the first equation will be like this

y - x = 9

and the second will be

5x = 9 + 3y

Let's compute for y using the first equation

y - x = 9

move y to the right and change sign

y = x + 9

Let''s now use x here to replace x in the second equation

5x = 9 + 3(x + 9)

Multiply

5x = 9 + 3x + 27

Add

5x = 3x + 36

Move 3x to the left and change sign

5x - 3x = 36

Subtract

2x = 36

Divide by 2 to eliminate the 2 in the 2x

2x/2 = 36/2

x = 18

Let us now use the value of y to know the real value of x in the first equation.

y = x + 9

y = 18 + 9

y = 27

Let's check

y - x = 9

27 - 18 = 9

9 = 9 correct

Let's use the second equation

5x = 9 + 3y

5(18) = 9 + 3(27)

90 = 9 + 81

90 = 90 correct

I hope it helps