Question

To verify the conditions of consistency/ inconsistency for a pair of linear equations in
two variables by graphical method.​

Answer 1

Answer:

please mark brilliant dear

Answer 2

Answer:

Step-by-step explanation:

Objective

To verify the conditions for consistency of a system of linear equations in two variables by graphical representation.

Linear Equation

An equation of the form ax + by + c = 0, where a, b, c are real numbers, a ≠ 0, b ≠ 0 and x, y are variables; is called a linear equation in two variables.

Take the 1st pair of linear equations in two variables, e.g., 2x – 5y +4=0, 2x +y-8 = 0.

Obtain a table of at least three such pairs (x, y) which satisfy the given equations.

Plot the points of two equations on the graph paper.

Observe whether the lines are intersecting, parallel or coincident. Write the values in observation table.

Also, check ;a1a2;b1b2;c1c2

Take the second pair of linear equations in two variables

Repeat the steps 3 and 4.

Obtain the condition for two lines to be intersecting, parallel or coincident from the observation table by

comparing the values of a1a2,b1b2andc1c2

for intersecting lines, a1a2≠b1b2

for parallel lines, a1a2=b1b2≠c1c2

for coincident lines, a1a2=b1b2=c1c2

Result

The conditions for consistency of a system of linear equations in two variables is verified.

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