Linear Equations Worksheet With Answers Page 8
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21Solution
(a) Substituting the given values into the equation we find 18 = I
+ 10. Solving for I
we
1
1
find
= 18 − 10 = 8
I
1
Thus I
equals 8 A.
1
(b) We are given that, from Kirchhoff’s law, I = I
+ I
. We are told that I
is five times as
1
2
2
great as I
, and so we can write I
= 5I
. Since I = 36 we have
1
2
1
36 = I
+ 5I
= 6I
1
1
1
Solving this linear equation 36 = 6I
gives I
= 6A. Finally, since I
is five times as great
1
1
2
as I
, we have I
= 5I
= 30 A.
1
2
1
8
Engineering Mathematics: Open Learning Unit Level 0
3.1: Polynomial Equations, inequalities
and partial fractions
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