To solve problems involving simultaneous
equations, introduce two
variables and form two equations. Then solve the equations and state your
answer in terms of the original problem.
Example 8
The denominator of a certain fraction is 5 more than the numerator, and
the sum of the numerator and the denominator is 11. Find the fraction.
Solution:
Example 9
The length of a rectangular orchard is 50 m more than the width, and
the perimeter is 400 m. Find the length and width. Hence determine the
area of the orchard.
Solution:
Let the length and width of the rectangular orchard be l m and w
m respectively. Then:
So, the length and width are 125 m and 75 m respectively.
Now,
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