Page 166 - Mathematics

Exercise 6.7

Find graphically the solution in each of the following pair of linear simultaneous
equations. Verify your answers by a calculator or any other graghing software
of your choice.

 2x y+= 4 y =  − 2x + 5
1.  7. 
+=
x
 x y 3  y = − 4
30
 x y+ −= 2y +  12 3x=
Tanzania Institute of Education
2.  8. 
10
82x
 x y− −=  4y +=
13x
y
 x += 1  y +=
3.  9. 
3
 2x + 3y = 5  y −= x
x −  2y = − 5  3y = 2x + 3

4.  10.  2
 x + 3y = 15  x − 3 y = 1

x −  2y = 1 3p +  4q = 7
5.  11. 
 x + 2y = 5  5p + 6q = 11

 2x y+= 6 2c + 2d = cd−
6.  12. 
−=
2 c
 6x y 6  2d += + 1

13. Ali paid Tshs 15,000 for 10 oranges and 35 mangoes. Peter went to the
same fruit market and paid Tshs 8,800 for 16 oranges and 18 mangoes.
Find graphically the price of an orange and a mango.

14. The sum of the number of boys and girls in a class is 36. If twice the
number of girls exceeds the number of boys by 12, use graphical method
Mathematics Form One 15. The sum of the ages of a mother and her daughter is 52 years. Eight
to find the number of girls and boys in the class.

years ago, the mother was eight times as old as her daughter. Use the
graphical method to find their present age.

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Mathematics form 1.indd 160