The sum of two numbers is 29. The sum of 3 times the larger and 6 times the smaller is 111. Find the numbers.​

8 and 21

Step-by-step explanation:

The numbers are 21 and 8.

Step-by-step explanation:

Let x be the larger number and y be the smaller number.

According to question,

x + y = 29

or x = 29 - y (i)

Also,

3x + 6y = 111

Replacing x from (i), we get,

3(29-y) + 6y = 111

87 - 3y + 6y = 111

3y = 111 - 87

3y = 24

y = 24/3

y = 8

And,

x = 29 - y

= 29 - 8

= 21

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.