Algebraic Methods Of Solving A Pair Of Linear Equations

To solve the system of simultaneous linear equations, we have the following equations:

First, simplify the third equation:

We can write the system of equations as:

• (1)
• (2)
• (3)

To eliminate , subtract equation (1) from equation (2):

...(4)

Next, eliminate between equations (1) and (3):

Substitute into equation (4):

Now substitute and into equation (1) to find :

Now we have , , . Hence, , , and .

Finally, .