Question

The sum of integers x and y is 280. If x is divided by 7, the quotient is y. What is the value of x?

Answer 1

x = 245

Explanation:

The sum of integers x and y is 280; x + y = 280

If x is divided by 7, the quotient is y; x/7 = y so x = 7y

Now you have 2 equations:

x + y = 280

x = 7y

Substitute x = 7y into x + y = 280

7y + y = 280

8y = 280

y = 35

x = 7(35)

x = 245

Answer

x = 245

Answer 2

Explanation:

x + y = 280

x/7 = y Multiply both sides by 7

x/7 * 7 = 7*y

So x = 7y

Put 7y into the top equation.

7y + y = 280

8y = 280 Divide both sides by 8

8y/8 = 280/8

y = 35

====================

x + y = 280

x + 35 = 280

x + 35 - 35 = 280 - 35

x = 245