Q) Using graphical method, find whether following system of linear equations x = 0 and y = – 7 is consistent or not.

Ans: 

VIDEO SOLUTION

STEP BY STEP SOLUTION

Step 1: Construction:

On a graph paper, plot or draw x = 0

next, draw y = – 7

Step 2: Intersection point:

check if lines are intersecting.

In this case, line y = – 7 is intersecting x = 0 at (0,-7);

Step 3: Consistency:

Justification: Since the given lines have one unique solution i. e. they are intersecting at one point (0, – 7), therefore, the given system of linear equations is consistent.

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