Question

Timoty and Jesse went to purchase sports clothing they needed to play soccer. The table below shows what they bought and the amount they paid. What is the price of 1 soccer jersey?​

Answer 1

$11.7

Explanation:

The most important step when solving a word problem is to turn the question into an equation:

`4x+7y=78.3\\3x+5y=57.6`

Our goal is to solve for x, which represents the price of each Soccer Jerseys.

There are multiple ways to solve a system of equations, I will present 2 methods.

Method 1 | Graphing:

Arguably the easiest way, but only if you have a graphing calculator or somewhere to graph.

Simply graph both equations and the point of intersection of both lines will be the answer for x and y.

The graph should look something like this:

(See picture)

The lines are so close that you can barely see a gap between both lines!

The solution is (11.7, 4.5).

Since we are trying to find x, $11.7 is our answer.

Method 2 | Substitution:

Substitution is in my opinion, the second easiest way to solve a system of equations.

Pick any of the two equations and isolate any of the two variables. Let's isolate the x in the second equation:

`3x+5y=57.6\\3x=57.6-5y\\x=19.2-(5)/(3)y`

After that, we will replace our x value (only in terms of y) into the other equation:

`4x+7y=78.3\\4(19.2-(5)/(3)y)+7y=78.3\\76.8-(20)/(3)y+7y=78.3\\(1)/(3)y=1.5\\y=4.5`

After finding the value of y, replace it into any of the two equations to find x:

`3x+5y=57.6\\3x+5(4.5)=57.6\\3x+22.5=57.6\\3x=35.1\\x=11.7`

And we get the same answer as before.

Hope this helps :)