Question

solve each of the following systems of linaer quation graphically. the check if the system of linaer aquations has no solution.

Answer 1

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Class 10

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>>Pair of Linear Equations in Two Variables

>>Pair of Linear Equations in Two Variables

>>Solve the following system of linear equ

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Solve the following system of linear equations graphically. Also, find the coordinates of the points where the lines meet the y − axis.

2x−y−5=0

x−y−3=0

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Solution

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Given lines: 2x−y−5=0 and x−y−3=0

The line 2x−y−5=0 can be written as y=2x−5 ...(1)

x 0 1 3

y -5 -3 1

The line x−y−3=0 can be written as x=3+y ...(2)

x 0 3 4

y -3 0 1

Let us substitute x=3+y in equation (1)

⇒2(3+y)−y−5=0

⇒6+2y−y−5=0

⇒y=−1

∴ x=2

∴ The lines meet at the point (2,−1)

The coordinates where the lines meet y − axis are (0,−3) and (0,−5).