Our goal here is to introduce some of the equation solving techniques that may be helpful for kids in understanding Algebra.
We start here with a very simple technique.
Example 1:
Let us say that there is an equation x + 3 = 9 and we need to solve it. Solving an equation means that we need to know the possible values of the variables that when put into the equation will satisfy it. We present the solution next.
Example 2:
You have an equation 3x = 9. Find x.
Example 3:
We have two simultaneous equations in two variables x and y. Find x and y.
x – y = 10 --------(1)
x + y = 15 --------(2)
Example 4:
We have two simultaneous equations in two variables x and y and we need to find x and y.
x – y = 10 -----(1)
x + y = 15 -----(2)
Example 5:
Given two equations in two variables x and y. Find the values of x and y that satisfy these equations simultaneously.
2x – y = 10 ------(1)
x + 2y = 15 ------(2)
Different Equation Types
In Algebra, sometimes you may come across equations of the form Ax + B = Cx + D where x is the variable of the equation, and A,B,C,D are coefficient values (can be both positive and negative).
In the next section, we present an example of this type of equation and learn how to solve it through simple Algebraic techniques..
Answers & Comments
Our goal here is to introduce some of the equation solving techniques that may be helpful for kids in understanding Algebra.
We start here with a very simple technique.
Example 1:
Let us say that there is an equation x + 3 = 9 and we need to solve it. Solving an equation means that we need to know the possible values of the variables that when put into the equation will satisfy it. We present the solution next.
Example 2:
You have an equation 3x = 9. Find x.
Example 3:
We have two simultaneous equations in two variables x and y. Find x and y.
x – y = 10 --------(1)
x + y = 15 --------(2)
Example 4:
We have two simultaneous equations in two variables x and y and we need to find x and y.
x – y = 10 -----(1)
x + y = 15 -----(2)
Example 5:
Given two equations in two variables x and y. Find the values of x and y that satisfy these equations simultaneously.
2x – y = 10 ------(1)
x + 2y = 15 ------(2)
Different Equation Types
In Algebra, sometimes you may come across equations of the form Ax + B = Cx + D where x is the variable of the equation, and A,B,C,D are coefficient values (can be both positive and negative).
In the next section, we present an example of this type of equation and learn how to solve it through simple Algebraic techniques..