Conquer the College Math Placement Challenge 2025 – Step Up and Shine!

Question: 1 / 400

What is the value of x in the equation: x + y = 10 and x - y = 2?

To find the value of x in the system of equations provided, we can use the method of elimination or substitution. Here, we will use elimination.

We start with the two equations:

1. $ x + y = 10 $

2. $ x - y = 2 $

To eliminate y, we can add these two equations together:

(x + y) + (x - y) = 10 + 2

This simplifies to:

2x = 12

Next, we solve for x by dividing both sides by 2:

x = 6

This confirms that the solution for x is 6.

To further validate this solution, we can substitute x back into one of the original equations. Let's use the first one:

6 + y = 10

Solving for y gives:

y = 10 - 6 = 4

Now we substitute x and y back into the second equation to ensure both equations hold true:

6 - 4 = 2

Since both conditions are satisfied, our solution $ x = 6 $ is confirmed correct. Thus, the value

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