A <em>simultaneous equation</em> is a set of <em>equations</em> that has to be solved in <u>relation</u> to each other at the <u>same</u> time. Thus the required <u>number</u> of stamps are:
<u>4¢</u> stamps = 16
<u>5¢</u> stamps = 7
A <em>simultaneous equation</em> is a set of <em>equations</em> that has to be solved in <u>relation</u> to each other at the <u>same</u> time. This <u>process</u> is required so as to <em>determine</em> the <u>values</u> of two unknowns e.g x and y.
From the given question, let the <u>number</u> of 4¢ stamps be represented by n, and that of the 9¢ stamp be represented by m.
So that,
n + m = 23 ............ 1
But 100¢ = $1, so that;
4¢ = x
x =
= $0.04
also,
9¢ = x
x =
= $0.09
Thus, we have;
0.04n + 0.09m = 1.27 ......... 2
From equation 1, make n the <u>subject</u> of the <u>formula</u>, such that;
n = 23 - m ........... 3
Substitute equation 3 into equation 2
0.04(23 - m) + 0.09m = 1.27
0.92 - 0.04m + 0.09m = 1.27
collect like terms to have;
0.05m = 1.27 - 0.92
= 0.35
m =
m = 7
Now <u>substitute</u> the value of m into equation 3
n = 23 - m ........... 3
= 23 - 7
n = 16
Therefore the <u>number</u> of 4¢ stamps is 16, while that of the 5¢ stamps is 7.
For more clarifications on the simultaneous equations, visit: brainly.com/question/15165519
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