A system of equations contains at least two equations and can have zero, one, multiple or infinite many solutions.
How to determine the solution to system of equations?
From the activity review, we have the following breakdown:
- Create a system of equation
- Solve the system by graph and by table
Assume the system of equations are:
f(x) = 2x + 4
g(x) = x² - 4
Solving by table
Start by creating a table of values for the above equations
x -3 -2 -1 0 1 2 3 4
f(x) -2 0 2 4 6 8 10 12
g(x) 5 0 -3 -4 -3 0 5 12
From the above table of values, we have:
f(x) = g(x) when x = -2 and when x = 4
Hence, the solutions to the system of equations are (-2,0) and (4,12)
Solving by graph
Start by creating a graph of the equations using a graphing tool.
From the attached graph, we have the point of intersection to be
(-2,0) and (4,12)
Hence, the solutions to the system of equations are (-2,0) and (4,12)
Read more about system of equations at:
https://brainly.com/question/13729904
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