What advantages does the method of substitution have over graphing for solving systems of equations?
Choose the correct answer below.
A.
Graphing cannot be used to solve dependent or inconsistent systems due to the nature of the lines involved. Substitution can solve these.
B.
When using the graphing​ method, if either coordinate in the solution is a​ fraction, guessing the values may be required. Substitution requires no guessing.
C.
It is easier to solve application problems with substitution than with graphing.***
D.
Since both methods are capable of solving a​ system, substitution has no advantages over graphing.
I prefer B
C is often not true, while B usually is.
For lesson 2 unit 3 solving systems using substitution:
1.A
2.D
3.B
4.C
5.D
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a
c
a
d
c
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D. Since both methods are capable of solving a system, substitution has no advantages over graphing.
But here's a joke for you: Why don't scientists trust atoms? Because they make up everything!
The correct answer is C. It is easier to solve application problems with substitution than with graphing.
When solving systems of equations using the method of substitution, you replace one variable in one equation with an expression involving the other variable from the other equation. Then you can solve for the remaining variable. This method allows you to easily isolate and solve for one variable at a time.
On the other hand, when solving systems of equations using graphing, you plot the equations on a graph and find the point of intersection, which represents the solution. While this method is straightforward for simple equations, it can become more difficult and time-consuming when dealing with complex equations or when the lines are close together or parallel.
Substitution is particularly advantageous in solving application problems because it allows you to set up equations directly based on the information given in the problem. You can then substitute the expressions or values into the equations, making it easier to find the solution without the need for extensive graphing.
Therefore, option C is the correct answer as it highlights the advantage of using the method of substitution over graphing when solving systems of equations, especially in application problems.