Q. 23.5( 2 Votes )

# Show that each one of the following systems of equations is inconsistent.2x + 3y = 5;6x + 9y = 10.

To prove: Set of given lines are inconsistent.

Given set of lines are : -

2x + 3y = 5

6x + 9y = 10

Converting the following equations in matrix form,

AX = B

R2 – 3R1

Again converting into equation form, we get

2x + 3y = 5

0x + 0y = - 5

0 = - 5

which is not true

2x + 3y = 5

6x + 9y = 10 are inconsistent.

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