Q17 of 186 Page 3

Solve the following system of linear equations graphically:

5x — 6y + 30 = 0; 5x + 4y — 20 = 0


Also find the vertices of the triangle formed by the two lines and x – axis.

The given equation is

5x – 6y = – 30


and 5x + 4y = 20


Now, let us find atleast two solutions of each of the above equations, as shown in the following tables.


Table for



Now, table for




Here, the lines are intersecting at point C (0,5).


The coordinates of the vertices of ∆ACD are A( – 6,0), C(0,5)and D(4,0)


More from this chapter

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16

Solve the following system of linear equations graphically. Also shade the region bounded by the lines and y – axis.

4x — y = 4


3x + 2y = 14

 16

Solve the following system of linear equations graphically. Also shade the region bounded by the lines and y – axis.

x — y = 1


2x + y = 8

 18

Draw the graphs of the equations 3x — y + 9 = 0 and 3x + 4y — 6 = 0.

Also determine the vertices of the triangle formed by the lines and the x – axis.

 19

Draw the graphs of the following equations 3x — 4y + 6 = 0; 3x + y — 9 = 0.

Also, determine the coordinates of the vertices of the triangle formed by these lines and the x – axis.