The sum of two numbers is 44. The second number is 5 more than twice the first number. Find the numbers. (A) DEFINE THE VARIABLES:

(B) EQUATIONS:

(D) QUESTIONS:

i) What is the First Number?

ii) What is the Second Number?

Actually Welcome to the Concept of the Variables and linear equations.

Let, the first number be x and other one be 2x+5 ,according to the statement of the question.

Since, there sum is 44 ,

hence, 2x+5+x = 44

==> 3x +5 = 44

===> 3x = 44-5

==> 3x = 39

==> x = 39/3

===> x = 13

so the two numbers would be,

1.) First number ==> x = 13

2.) Second number ==> 2x+5 = 31

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1