One number is two more than three times another. the sum of the number is 26. what is the lesser number

Lesser number is 6

Step-by-step explanation:

Let:

1st number = x

2nd number = y

Given that:

Condition 1:  one number is two more than three times another:

x = 2 + 3*y

Can be written as:

x-3*y =2                (transferring y term to other side)  eq (1)

Condition 2: the sum of the numbers is 26.

x + y =26   eq (2)

Now subtracting eq (1) from eq (2)

(x + y) - (x-3*y)= 26 -2

Opening brackets: Negative sign will change the signs in bracket

x + y - x + 3*y = 24

Adding like term (x in x and y in y)

4*y = 24

Dividing both sides by 4

y = 6

Putting value of 6 in eq(2)

x + 6 = 26

x = 26 - 6

x = 20

Now x = 20

        y = 6

So, Lesser number is 6  (Answer)

I  hope it will help you!

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!

i don't have the answer rn but go to math papa. it shows the steps and the answer. hope this : )

step-by-step explanation: