Question

One number is twice another number and their sum is 36. which system of equations represents the word problem? 2x y = 36 and x y = 36 x y = 36 and y = 2x y = 2x and 2x y = 36

Answer 1

Let the numbers be x and y.  Write out mathematical equations:

y=2x         and             x+y=36

You were not asked to solve this problem, but should do so for practice.  Subst. 2x for y in the 2nd equation:  x + 2x = 36;    3x = 36;     x = 12.  Find y.  Then check your solution.

Answer 2

Let

y------>one number

x------> another number

we know that

$y=2x$ ------> equation A

$x+y=36$ ------> equation B

substitute equation A in equation B

$x+2x=36$

$3x=36$

$x=12$

Find the value of y

$y=2x$

$y=2*12=24$

the numbers are $24$ and $12$

therefore

the answer is

The system of equations are

$x+y=36$ and $y=2x$