solving equations with variables on both sides problems

A 48 cm long wire is bent to form a right-angled triangle with hypotenuse 20 cm. Find the sides of the triangle. The problem can be solved by _________. => Using coordinate techniques or Using a system of inequalities in two variables or Using a polynomial ..

A Linear equation is a first degree algebraic expression with one,two or more variables equated to a constant. Graphically a linear equation with one or two variables is a straight line whereas one with three variable represents a plan..

Linear Equations in One Variable - An equation of one variable and of first order (i.e., its highest power is one) is called a Linear equation. Such an equation has only one solution. A solution is also called the 'root' of the given ..

Uniform Velocity and Non-uniform Velocity - Imagine that two athletes Tom and Harry are running with a uniform speed of 5 m/s on a straight line and circular track respectively. For a layman both Tom and Harry are moving with uniform velocity but for a physicist only Tom is running with uniform vel..

Quantities such as height, weight, age, amount can have several different values. Quantities which can assume different numerical values are called variables. Variables are of two types: (a) Continuous (b) Discre..

A set of observations is called a called a collection of data. These observations should possess some common characteristics. They are recorded and used for further study. The quantities such as age, height and number of students are called variables..

A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the h..

Solve the riddle. Which shape am I? I have less than 4 sides. I have corners too. => Figure 2 or Figure 4 or Figure 3 or Figure 1..

Solve the riddle. Which shape am I? I have more than 3 sides. I have 4 corners. All my sides are equal. => Figure 2 or Figure 3 or Figure 4 or Figure 1..

The above discussion leads to find the solution of a system of linear equations in two variables by using Cramer's rule. Cramer's rule suggests the use of determinants to solve a system of linear equations. Let us denote a 1 b 2 - a 2 b 1 (Denominators of x a..