Question

Using a venn diagram, compare and contrast Graphing,Elimination and Substitution Methods in solving system of linear equation in two variables. ​

Answer 1

Step-by-step explanation:

Solving methods for solving linear equations in two variables:-

1. Graphical method
2. Elimination method
3. Substitution method

Comparision:-

1.All the three methods for solving linear equations in two variables.

2.Elimination and substitution methods are algebraic methods.

3.In graphical method writting the points to draw the graph to find the values of two variables .

4 In elimination method ,eliminating one variable to get another variable.

5.In substitution method solving the two equations on substituting the value of the variable to get another variable.

Contrast:-

1.Elimination method contains substitution method.

2.,after getting value of one variable then substituting the value of the variable to get the another variable.

Answer 2

Answer:

Step-by-step explanation:

There are different methods in solving system of linear equation in two variables. They are graphical method, elimination method, substitution method, cross multiplication method, and matrix method.

Here we are about to compare and contrast the three methods namely graphing, substitution and elimination methods.

Elimination method:

1. In this method, we arrange the equation as first x-terms, y- terms and then equal to constant term. If constant do not appear in the equation it means 0.
2. Then multiply any one equation or both  by a number so that one of the terms gets cancelled when adding or subtracting the like terms of the equations.
3. Next we add or subtract the equations to get the value of one of the variables. And put the value of that variable in any one of the original equations to solve for the next variable.

Substitution method:

1. First rearrange an equation to get one variable.
2. Now take the expression got for a variable in the first step and substitute it in the other equation.
3. Solve the equation for the remaining variable.
4. Use the result of step 3 and apply it in equation of step 1 to solve for the next variable.

Graphical method:

1. In first equation for x=0 and x=1 get the y value and graph the equations on the cartesian system as a line.
2. Also plot the second equation on the same graph.
3. Find the intersecting points to get the solution.

Contrast:

1. In graphing, the solution is difficult to determine as it  may be decimal or a fraction.Sometimes it takes more time.
2. Substitution method gives exact values and  sometimes it is quickest than elimination.

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