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`