Question #7d717

3 Answers
Feb 9, 2018

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

Feb 9, 2018

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

Feb 9, 2018

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