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

Answer 1

y = 2x + 6
x + y = 51...x = 51 - y

x + 2x + 6 = 51
3x = 51 - 6
3x = 45
x = 15

y = 2x + 6
y = 2(15) + 6
y = 30 + 6
y = 36

answer is : first answer choice...and ur numbers are 15 and 36

Answer 2

let the numbers be x and y.

y = 2*x + 6

y = 2x + 6

Sum of the numbers is 51, x + y = 51

Answer: y = 2x + 6 and x + y = 51