How to use linear equations in everyday life
Linear equations in one variable can be used to model real life situations. For example: we burn approximately 118 calories per hour of walking. How long should we walk to burn 354 calories ? To determine this, we use equation: 118t = 354, where 't' is the time. The answer is 3 hours.
Linear Equation in One Variable
Equation: An equation is a statement in which two algebraic expressions are equal. In other words, an equation is a sentence that expresses the equality of two algebraic expressions. Ex: 4x – 3y = 2; x2 + y2 + z2 = 10; p2 + 17 = 2p2 + 4q2. In the first example 4x – 3y = 2, 4x – 3y is called left hand side (L.H.S.) of the equation and 2 is called right hand side (R.H.S.) of the equation.
Linear equation in one variable: An equation which involves only one variable with exponent 1, is called a linear equation in that variable. The general form of a linear equation in one variable is:
ax + b = 0
where 'a', 'b' are real numbers, ‘x’ is a variable and a ≠ 0.
Each one of the equations: 3x + 2 = 0; 4p – 5 = p; 2y + 3 = 3y + 4 is a linear equation in one variable.