Make a conjecture about the solution of a system of equations if the result of subtracting one equation from the other is 0 = 0
A. There are no solutions
b. there are infinite number of solutions
c. Cannot determine any solution
d. the solutions are inverses of each other
If your variables disappear after performing valid algebraic operations, and
-you end up with true statement, there are an infinite number of solutions
-you end up with a false statement, there are no solutions.
so in your case the statement 0 = 0 is true, so .....
I don't understand?
Choco pies are cookies made from chocolate (c), sugar (s), and flour (f). Chocolate costs $5 per pound, sugar costs $3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as sugar.
Write a system of three equations that represents how much food you should purchase.
To make a conjecture about the solution of a system of equations when subtracting one equation from the other results in 0 = 0, we need to analyze the implications of this condition.
When subtracting one equation from another in a system, what we are essentially doing is eliminating one variable from the system. If we end up with 0 = 0, it means that both sides of the equation are equivalent and true. This suggests that the two equations are essentially the same equation or that they represent the same line when plotted on a graph.
Based on this observation, we can conclude that the equations are not independent, but rather dependent. This implies that there are infinitely many solutions rather than a unique solution.
Therefore, the correct answer to your question is:
B. There are an infinite number of solutions.