Answer:
The statement is False.
Step-by-step explanation:
Consider the provided information.
If a linear system has four equations and seven variables, then it must have infinitely many solutions.
We need to determine the above statement is true or false.
The above statement is false, it could be inconsistent, and therefore have no solutions,
For example:
Hence, there is no solution.
We are given
piggy bank has nickels , dimes and quarters
Let's assume
number of nickels =n
every two nickels there are 3 dimes
so, number of dimes are
every two dimes that are 5 quarters there
so, number of quarters are
so, total number of coins = number of nickels + number of dimes +number of quarters
total number of coins =n+1.5n+3.75
there are 500 coins
so, we get
now, we can solve for n
divide both sides by 6.25
so, we get
number of dimes is 1.5n
number of quarters is 3.75n
so,
Number of nickels =80
Number of dimes =120
Number of quarters =300............Answer
