The first step in solving this system of equations is to remove either the  term or the  term. This is done by multiplying the second equation by .

Now add these two equations together and the  terms will be removed. 

+ 

_____________________

Divide both sides of the equation by 

Put the value of , which is , into one of the equations to get the value of 

Add  to both sides of the equation.

Divide both sides by 

 is the correct answer.

To solve this system of equations, add. This will eliminate or remove the  terms.

+

___________________

Divide both sides by 

To get the value of  replace the variable with the value of that variable in one of the equations.

Subtract  from both sides of the equation.

Divide both sides of the equation by 

 is the correct answer.

To solve this system of equations,  subtract the second equation from the first.

____________________________

Now, substitute in the value for x into one of the equations to solve for the value of .

Now subtract five from each side.

Divide both sides by negative 2:

 is the correct answer.

To solve this system of equations, set both equations equal to one another.

Add  to both sides of the equation.

Subtract  from both sides of the equation.

Multiply both sides of the equation by .

Plug the value of , which is  into one of the equations to get the value of 

  is the correct answer for this system of equations. 

Step 1: Write the two equations, one below another and line up the terms.



----------------

Step 2: We see that we have  and . We can add these two equations up, which will isolate y and let us solve for x.


 We add here.
----------------


Step 3: We will isolate x by itself. We need to divide by 2 on both sides to get x.




Step 4: We found x, so we can plug in that value into any one of the two equations and solve for y. Let's choose equation (1).

(1)...
. Isolate y by itself. We are going to subtract 6 from both sides.
. Simplify the left hand side.


Step 5: We will divide by -1 to get the value of y.




The values that solve this system of equations is  and .

To answer this question you must first solve for one of the variables. This can be done with either variable with either equation. In this example of how to solve the problem we will solve for y using the second equation

subtract 8x from both sides

divide both sides by y

Now we plug this into the first equation for the y variable

Distribute the 3

Simplify

subtract 9 from both sides

divide by -2 on both sides

Using this we solve for y in the second equation

simplify

add 8 to both sides

divide by 4 on both sides

Final answer and 

In order to find the eigenvalues of a matrix, apply the following formula:

 is the identity matrix.

Compute the determinant and set it equal to zero.

Solve for lambda by using the quadratic formula.

In order to find the eigenvalues of a matrix, apply the following formula:

 is the identity matrix.

Compute the determinant and set it equal to zero.

Solve for lambda by using the quadratic formula.