Atennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24. the players were still hungry so the coach bought 6 more hamburgers and 2 more fries for $16.60. find the cost of each.

Answer : The cost of hamburgers and fries is, $2.5 and $0.8

Step-by-step explanation :

Let the cost of hamburgers be, x and the cost of fries be, y.

Thus the two equation will be:

    ...........(1)

   .............(2)

Using substitution method:

From equation 1 we have to determine the value of 'y'.

       ........(3)

Now put equation 3 in 2, we get:

Now put the value of x in equation 3, we get:

Thus, the cost of hamburgers and fries is, $2.5 and $0.8

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions