Question

Please help, system of equasions

Answer 1

Your answer would be 6x + 3y = 36

We can find this because each shirt costs $6, so the total cost for shirts will be 6 multiplied by however many we buy, and since the number of shirts is represented by x, this gives us 6x.

The cost for each cap is $3, so the total cost for caps would be 3 multiplied the number of caps, which is 3y.

We want the overall cost to come out as $36 exactly, so we know that the total cost of shirts plus the total cost of caps must equal $36.

I hope this helps!

Answer 2

`x = 4, y = 4`

Explanation:

`x+y=8`

The total number of caps or shirts needed will be equal to the total amount of people in the system.

`6x+3y=36`

We can multiply the amount of caps and shirts by their price to get the total price needed.

`y=8-x\\6x+3(8-x)=36\\6x+24-3x=36\\3x=12\\x=4`

We can substitute one equation into another to solve for x.

Now we put our x value back into the other equation to get y

`4+y=8\\y=4`

Now we substitute both of our values into our second equation to verify that they are correct

`6(4)+3(4)=36`

So correct!