Linear Equations in one variable

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Linear Equations In One Variable – Part 2 : Linear Equations In One Variable – Part 2 By: Monali Thakur monali_253@yahoo.co.in

Slide 2 : The highest power of the variable appearing in the expression is 1 e.g. 2x+4,3p-4,4m+3 Thus , linear equations in one variable are like 2x-3 =7 (there is an equality sign in an equation) What is a linear equation?

In brief: : In brief: An algebraic equation an an equality involving variables. It has an equality sign. The expression on the left of the equality sign is the Left Hand Side (LHS). The expression on the right of the equality sign is the Right Hand Side (RHS). In an equation the values of the expressions on the LHS and RHS are equal. This happens to be true only for certain values of the variable. These values are the solutions of the equation.

Slide 4 : A quick review on transposition method (i) 3p–10 = 5 Transpose (-10) from L.H.S to R.H.S (On transposing -10 becomes +10) 3p = 5+10 or 3p = 15 (ii) 5x + 12 =27 Transposing +12 (on transposing +12 becomes -12) 5x = 27-12 or 5x = 15

Slide 5 : Let us solve some equations !!

Slide 6 : (transposing 5x on LHS and 11 on RHS) (Dividing both sides by -4) Thus, x=9 is the solution of the given equation. Solve :

Slide 7 : Solve:

Slide 8 : Solve:

Slide 9 : Solve:

Slide 10 : Solve:

Slide 11 : Solve:

Slide 12 : Solve:

Slide 13 : If 7 is subtracted from five times a number,,the result is 63. Find the number.

Slide 14 : The sum of two consecutive numbers is 53.find the numbers.

Slide 15 : The sum of two consecutive odd numbers is 68. find the numbers.

Slide 16 : The sum of two consecutive even numbers is 86. Find the numbers.