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linear equations what is a linear equation an equation is a condition on a variable a variable takes on different values its value is not fixed variables are denoted usually by letter of alphabets such as x y z l m n p etc from variables we form expression linear equation in one variable these are the type of equation which have unique i.e only one and one solution for example 2 x 5 0 is a linear equation in one variable root of the equation is -52 example 1 convert the following equation in statement form x­5=9 learn more about graphing linear equations

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solution 5 taken from x gives 9 so x 9 5 14 hence x 14 for verification of the statement x-5=9 14 5 9 9 9 so left hand side value is equal to right hand side value hence the value of x determined is correct you can try out some more examples from linear equations worksheets linear equation in two variable an equation which can be put in the form ax+by+c=0 where a,b and c are real numbers and a and b are not zero,is called linear equation in two variables for example 3 x 4 y 8 which is a equation in two variables summary :a linear equation in two variable has infinitely many solutions.the graph of every linear equation in two variable is a straight line every point on the graph of a linear equation in two variable is a solution of the linear equation an equation of the type y mx represents a line passing through the origin read more on solving linear equations

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how to solve linear equations below are the methods for solving linear equations in one variable method1 isolate the variable in this method we will isolate the variable on one side and number on other sides steps and example for solving equation example1 solve 2 x+3=15 solution1 given equation is 2 x+3=15 step 2 subtract 3 from both side 2 x +3-3 =15 -3 2 x =12 step3 isolate the variable by dividing 2 to both side 2x2 122 x =6 solution is 6

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method 2 graph method for linear equation in two variable the graph of every linear equation in two variables is a straight line every point on the graph of a linear equation is a two variables is a solution of the linear equation moreover every solution of the linear equation is a point on the graph of the linear equation example 1 solve graphically y 2x =6 solution1 given equation y 2x 6 the graph is given by the equation have infinitely many solutions solving linear equations examples below are few examples of equations which will help you to understand better how to solve linear equations example of linear equations in one variable :example1 solve 3n 7 =25 solution1 given equation is 3n +7 25

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step1 subtract 7 from both sides 3n+7-7 25-7 3n 18 step 2 divide both side by 3n/3 18/3 n 6 solution1 n=6 example of algebra linear equations in two variables example2 find two different solutions of the equations i 4x 3y 12 ii 2x 5y 0 solution 1 let us take x=0 we get 3y 12 i.e y =4 so 0 4 is a solution of the given equation.similarly by taking y=0 we get x =3 thus 3 0 is also a solution two different solutions are 0,4 and 3,0 solution2 let us take x=0 we get 5y 0 i.e y=0 so 0,0 is a solution of a given equation.to get another solution take x=1 so corresponding value of y is -25 so 1 -25 is second solution two different solutions are 0,0 and 1 -2/5

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linear equations word problems here is an example of linear equations word problems example the sum of three times a number is and 11 is 32 find the number let s see how to do linear equations solution let the unknown number is taken to be x,then three times the number is 3x and the sum of 3 x and 11 is 32 that is 3 x+11 32 problems and examples we get an equation 3x +11 32 now subtract 11 from both side 3 x+11-11=32-11 3x 21 divide both side by 3 frac{3x 3 frac{21 3 x=7 the required number is 7 for more help with this topic get connected to an online tutor of tutorvista who will work as a linear equation solver for you and will provide you the required help with solving equation

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thank you tutorvista.com

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