Question

One number is 6 more than twice another. If their sum is 51, find the numbers.

Which of the following systems of equations represents the word problem?

y = 2(x + 6) and x + y = 51
y = 2x + 6 and y = x + 51
y = 2x + 6 and x + y = 51

Answer 1

y=2x+6 ; x+y=51

Explanation:

assuming x is one number and y is the other -

one number (y) is 6 more (+6) than twice another (2x) -

using that knowledge we form an equation -

y=2x+6

the sum (x+y) is 51

using this knowledge we can make the equation -

x+y=51

now you have -

y=2x+6 or 2x-y=-6

x+y=51

using system of equations -

you add the equations -

3x=45

x=15

y=51-x => y=36

hope this helps!!