Question

please help, system of equasions

Answer 1

Answer:

$x = 4, y = 4$

Step-by-step 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!

Answer 2

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!