daria bought a lemonade cup for $9 . each refill cost $2 . last month daria spent $31 on mug and refills . How many refills did she buy?

Daria bought 11 refills of lemonade last month

Step-by-step explanation:

The equation is:

y = 2x + 9

The cup costs 9 dollars and is 2 dollars per refill

She spent 31 dollars so:

31 = 2x +9

Now we can solve!

2x + 9 = 31

Subtract 9 from both sides!

2x = 22

Divide both sides by 2!

x = 11

We know x is the amount of refills so,

Daria bought 11 refills of lemonade last month!

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

4

step-by-step explanation: