Q. 115.0( 2 Votes )

# Show graphically

Answer :

**Given: **the system of equations:**To show:**systems of equations has infinitely many solutions.**Solution:**consider the equation 2x + 3y = 6

To plot its graph,

we have

Putting x = 0 we get y = 2

putting y = 0 we get x = 3

The table for points of 2x + 3y = 6 is:

Plot A(0,2) and B(3,0) in the graph

Consider the equation 4x + 6y = 12

To plot its graph,

we have

Putting x = 6 we get y = -2

Putting y = 4 we get x = -3

The table for the points 4x + 6y = 12 is:

Plot C(6,-2) and D(-3, 4) in the graph

Now plot the graphs for these equations as:

As Both the lines pass through the same points and are coinciding.

There can be infinite points lying on both the lines.

Hence,systems of equations has infinitely many solutions.

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Solve the followiKC Sinha - Mathematics

Solve the followiKC Sinha - Mathematics

Solve the followiKC Sinha - Mathematics

Solve the followiKC Sinha - Mathematics

Solve the followiKC Sinha - Mathematics

Solve the followiKC Sinha - Mathematics

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Solve the followiKC Sinha - Mathematics