Question

Find the value of two numbers if their sum is 12 and their difference is 4. Systems of equations 8th grade math.

Answer 1

To solve this problem, we will setup a system.

We know that two numbers have a sum of 12 and a difference of 4.

So let's call our first number x and our second number y.

So we know that x + y = 12.

We can also say that x - y = 4.

Now rewrite the equations on top of each other.

x + y = 12

x - y = 4

Now we can use addition to solve this system.

When we add the equations together, the y's will cancel.

So we have 2x = 16.

Now divide both sides by 2 and x = 8.

Now plug an 8 back in for x in the first equation to find that y = 4.

So our numbers are 8 and 4.