Q20 of 186 Page 3

Use a single graph paper and draw the graph of the following equations. Obtain the vertices of the triangle so formed:

y = x


3y = x


x + y = 8

The given equation is


y = x


3y = x


and x + y = 8


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


Table for y = x



Now, table for 3y = x



Now, table for x + y = 8 or y = 8 – x




The coordinates of the vertices of ∆PQR are P(0, 0), Q(4, 4)and R(6, 2)


More from this chapter

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20

Use a single graph paper and draw the graph of the following equations. Obtain the vertices of the triangle so formed:

2y – x = 8


5y – x = 14


y – 2x = 1

 20

Use a single graph paper and draw the graph of the following equations. Obtain the vertices of the triangle so formed:

y = x


Y = 2x


x + y = 6

 11

Find the values of a and b for which the following system of linear equations has infinitely many solutions:

2x + 3y = 7, (a + b) x + (2a – b) y = 3(a + b + 1)

 21

Find the values of a and b for which the following system of linear equations has infinitely many solutions:

(2a – 1) x – 3y = 5, 3x + (b – 2) y = 3