Linear equations can also be referred to as Algebraic equations. Algebraic or Linear equations are equations that contain unknown variables. These unknown variables can be represented using the letters of the alphabet.
The system of linear equations that represents this situation is given as:
s + p = 9
24s + 32p = 264
Let's represent:
The number of shirts bought = s
The number of pants bought = p
From the question, You buy a total of 9 items. This statement can be represented using the linear equation below:
s + p = 9 ............Equation 1
Also, you spend $264 on clothes. The Shirts cost $24 and the pants cost $32. This statement can be represented using the linear equation below:
$24 x s + $32 x p = $264
24s + 32p = 264 ............Equation 2
Since: s + p = 9
s = 9 - p
To solve for p, we substitute 9 - p for s in equation 2
24(9 - p) + 32p = 264
216 -26p + 32p = 264
Subtract 234 from both sides
216 - 216 - 26p + 32p = 264 - 216
6p = 48
Divide both sides by 6
6p/6 = 48/6
p = 6
The number of pants you bought is 6.
To solve for s
s = 9 - p
s = 9 - 6
s = 3
The number of shirts you bought is 3.
Therefore, the system of linear equations that represents this situation is given as:
s + p = 9
24s + 32p = 264
To learn more, visit the link below:
https://brainly.com/question/20302992
