#2: Solve the linear system below using the elimination method. Type your answer as an ordered pair in the form (#,#). *
5x + 7y = 33
11x + 7y = 39
+

The given linear system is:

The question is asking to solve using elimination. When eliminating, you can either eliminate x or y. In this system, y is much easier to eliminate. The y variable in both equations are 7y. To eliminate, one of them has to be negative, so multiply one of the equations by -1.

I will be multiplying the second equation by -1.

Rewrite the system:

Subtract:

Lastly, you need to leave the variable x alone. The variable is currently -6x or -6 times x. To remove it, you need to do the opposite of it, which is dividing by -6.

Now that you have the value of x, substitute it into one of the equations to find y. I will be substituting it into the first equation.

Open the parentheses and multiply:

Move 5 to the other side to leave the variable alone:

You will be subtracting since you're "removing" it by doing the opposite of it.

Lastly, divide both sides by 7 to leave y alone.

The answer is (1, 4).

practice. practice. practice.