Question

The sum of seven times a number and three times a second number is 54. If the first number is two more than the second number, what are the two numbers? Write a system of equations that can be used to find the numbers. Let x represent the first number, and let y represent the second number. Solve the system of equations. The two numbers are what?

Answer 1

`7x+3y=54\\x=y+2\\\\7(y+2)+3y=54\\7y+14+3y=54\\10y=40\\y=4\\\\x=4+2=6`

The numbers are 6 and 4.