the sum of two numbers is seventeen. Twice the smaller number is one more than the larger number.

Question

The problems says to please translate into an equation and find the numbers.

Answer 1

the sum of two numbers is seventeen. Twice the smaller number is one more than the larger number.

x=smaller number y=larger number

x+y=17

2x=y+1

Now you have a system of equations. To solve this system, I would use the elimination method. To do this, I would re-write the 2nd equation to match the form of the first equation. In other words, I would move the "y" in the 2nd equation to the left side.

The 2nd equation would then be 2x-y=1

So the new system of equations would be:

x+y=17

2x-y=1

To solve by elimination, add the two equations together, then once you solve for x, put that answer into one of the original equations to solve for y.

Answer 2

x + y = 17

2x = y + 1

Can you solve by elimination?