b must be equal to -6 for infinitely many solutions for system of equations
and 
<u>Solution:
</u>
Need to calculate value of b so that given system of equations have an infinite number of solutions

Let us bring the equations in same form for sake of simplicity in comparison

Now we have two equations

Let us first see what is requirement for system of equations have an infinite number of solutions
If
and
are two equation
then the given system of equation has no infinitely many solutions.
In our case,

As for infinitely many solutions 

Hence b must be equal to -6 for infinitely many solutions for system of equations
and
Answer:
<em>Riley has 72 tokens</em>
Step-by-step explanation:
<u>System of Equations
</u>
We have two conditions for the tokens Riley and Erik have earned. Let's call x and y to the number of tokens of Riley and Erik respectively. The first condition states that

Solving for y

The second condition is that the ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7. It's written as

Or equivalently

Replacing y from the first equation

Operating

Simplifying


Riley has 72 tokens
Answer:
14.50x > 85
Step-by-step explanation:
14.50x > 85
divide both sides by 14.5
x>85/14.5 = 5.86 hours
x has to be greater than 5.86 hours
Answer:
7500 pounds of toppings
Step-by-step explanation:
6,900 + 600=