Algebra expression is directly related to the algebraic equations and polynomial equations. In the equation, you have one or more than one unknown, but the values cannot be determined when there is no equation including same unknown. The algebraic equations are most probably used to find the variables values to make both the side equal. For example, you have algebraic equation such as
4x + 8y = 18
And other one is, 3x+ 4y = 14,
Now, you have to find the value of x and y respectively. To find the values of unknown, you must know mathematical operations such as addition, subtraction, multiplication, and division.
To solve this algebra expression, apply subtraction operation on the both. In subtraction, only same variables can subtract. That means the 4x may subtract from 3x and similarly, 8y subtract from 4y. The constant value subtracts from a constant value of other equation.
Note that, before subtracting the equation, it needs to make the variables same. That means if we do not make the values same, then we have the equation in which both unknown are available. Then we can never find the value. To avoid this complexity in algebra expression, multiply the number with both the equation. It is not difficult to find the number to multiply in an equation. Find the unknown which you want to eliminate. Then select the number according to it. You want to eliminate x from both the equation then multiply equation one by 3, and another one is 4.
Now you have new equations as,
12x + 24y = 54
And, second one becomes, 12x + 16y = 56
Now you have the option to eliminate the variable x from the equation. For this, you need to subtract equation one from two. Then you have a new equation which has only one unknown because the second one has eliminated.
You have, 8y = -2,
Don’t you worry if you have answered in negative because in algebra expression; you have to face lots of questions that include negative value? It is easy to find the unknown if you have only one unknown. Divide both the side of an equation by 8, and you will get the value of y.
You have, y = -1/4
After getting the one variable’s value, you have to find another one. Now put Y’s value on anyone equation in which x is present. Consider equation one,
4x + 8y = 18,
When putting the value of y,
You have, 4x – 2 = 18
Not transfer the constant value to the right side. Then you have,
4x = 20,
Divide both the side by 4, and you have x = 5
In algebra expression, you need to face various difficulties which are solved by considering important factors. The application of algebraic equation helps to know the certain results. To solve the difficult expression, you need to practice more and more. More the practice takes you to be expert in solving the algebraic equations. The basic of algebra is simple but difficult to solve their application. Regular practicing can make you perfect in algebra expression-solving.
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