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3. Pair of Linear Equations in Two Variables
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Q5 of 30 Page 49

Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is36 m. Find the dimensions of the garden.

Let’s suppose,

width of the garden = x


length = y


so,


y - x = 4............ (1)


y + x = 36........... (2)


y - x = 4


y = x + 4
















x



0



8



12



y



4



12



16









y + x = 36


















x



0



36



16



y



36



0



20




Hence, the graphic representation is as follows.



More from this chapter

All 30 →
3

On comparing the ratios and find out whether the following pair of linearequations are consistent, or inconsistent.

(i)


(ii)


(iii)


(iv)


(v)

4

Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically:

(i)


(ii)


(iii)


(iv)

6

Given the linear equation write another linear equation in two variables such that the geometrical representation of the pair so formed is:

(i) intersecting lines


(ii) parallel lines


(iii) coincident lines

7

Draw the graphs of the equations and Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.

Questions · 30
3. Pair of Linear Equations in Two Variables
1 2 3 1 2 3 4 5 6 7 1 2 3 1 2 1 2 2 3 4 1 2 1 2 3 4 5 6 7 8
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