Question

Question #7d717

Answer 1

`x=9, y=7` or
`(9,7)`

Explanation:

Write a system that matches up with the information:

`x+y=16`
`x-y=2`

You can solve this with elimination. In this case, add them together to get rid of y.

`2x=18`

`x=9`

Plug in to solve for y.

`9+y=16`

`y=7`

Answer 2

`9 and 7`

Explanation:

.

Let the numbers be `x` and `y`.

`x+y=16`

`x-y=2`

If we add the two equations we get:

`2x=18`

`x=9`

Now, we can plug this into any of the equations to solve for `y`:

`x+y=16`

`9+y=16`

`y=16-9`

`y=7`

Answer 3

9 and 7

Explanation:

Well, what you have is, 2 equations in 2 unknowns. Which is enough to find a solution. There are a couple of ways to proceed, which no doubt you'll learn. For this example, probably the simplest is substitution.

Your 2 equations are:

`a + b = 16`
`a - b = 2`

From the second equation, we can say that:

`a = 2 + b`

...and now we substitute this value of a in the first equation:

`(2+b) + b = 16`
`2b + 2 = 16`
`2b = 14`
`b = 7`
...and now we can plug this back into the second equation, and solve for a:
`a -7 = 2`
`a = 9`

GOOD LUCK