Use elimination to solve the system of equations. 6x−2y=16𝑥-2𝑦=1 10x−2y=5

The system of equations you provided seems to be incorrect. You have given three equations but only two variables (x and y). A correct system of equations should have the same number of equations as variables.

However, I can help you solve a system of two equations using elimination. Let's use the first two equations you provided:

1. 6x - 2y = 16
2. x - 2y = 1

Step 1: Align the equations

First, we align the equations so that like terms are vertically aligned:

6x - 2y = 16 x - 2y = 1

Step 2: Eliminate one variable

Next, we subtract the second equation from the first to eliminate y:

(6x - x) - (2y - 2y) = 16 - 1 5x = 15

Step 3: Solve for the remaining variable

Now we can solve for x by dividing both sides of the equation by 5:

5x / 5 = 15 / 5 x = 3

Step 4: Substitute x into one of the original equations

We can substitute x = 3 into the second equation:

3 - 2y = 1 -2y = 1 - 3 -2y = -2

Step 5: Solve for y

Finally, we solve for y by dividing both sides of the equation by -2:

-2y / -2 = -2 / -2 y = 1

So the solution to the system of equations is x = 3, y = 1.