Algebra Linear Equations Online Tutoring

Algebra Linear Equations Online Tutoring Algebra linear equations are always of form ax + b = 0 where x is considered as the variable in the equation and a and b are real numbers. This form ax + b =0 is called as the standard form of any of the linear equations. The variable can be any other alphabet too. Let us take some examples of Algebra Linear Equations to understand the concept I a better way. Example 1: - Solve the following equation 2 (3 + x) + 5 = 10x 2 (x 1) Solution: - From the equation:- 2 (3 + x) + 5 = 10x 2 (x 1) 6 + 2x + 5 = 10x 2x + 2 11 + 2x = 8x + 2 Subtracting 2 from both sides, we get 11 + 2x 2 = 8x + 2 2 9 + 2x = 8x Subtracting 2x from both sides, we get 9 + 2x 2x = 8x 2x 9 = 6x Dividing both sides by 6, we get 9/6 = 6x/6 x = 3/2 Hence x = 3/2 is the solution of equation 2 (3 + x) + 5 = 10x 2 (x 1) Example 2: Solve the following equation for m 5 (m + 2) -10 = 8m (3m + 7) Solution:- From the equation: 5 (m + 2) -10 = 8m (6m + 9) 5m + 10 10 = 8m 6m 9 5m = 2m 9 Subtracting 2m from both sides, we get 5m 2m = 2m 9 2m 3m = -9 Dividing both sides by 3, we get 3m/3 = -9/3 m = -3 Hence m -3 is the solution of 5 (m + 2) -10 = 8m (3m + 7).