Question

A graph of an equation in two variables or a function is a representation of an infinite number of solutions to the equation or function.

2. A system of equations may not have an exact solution that meets the conditions of a real-world solution.

Using graphing technology is a very efficient way to find solutions to equations and systems of equations.
The intersection point of two graphed functions is the solution for a system of equations. It is the point that makes both equations true.
When two different functions g(x) are graphed, the x-coordinate of the point of intersection is the solution to the equation formed from f(x)=g(x).
Systems of equations may be a combination of linear and non-linear functions.
A table of values very rarely shows every possible solution to a system of equations. Finding the approximate solution that is between two values on the table can be a good answer in many situations.
How do the solutions to an equation relate to the graph of the equation?
How do you solve a system of equations approximately using graphs and tables?

Answer 1

The solutions to an equation are the x-coordinates of the points where the graph intersects the x-axis. To solve a system of equations approximately using graphs and tables, you can look for the points of intersection on the graph or find values in the table that satisfy both equations.

Step-by-step explanation:

The solutions to an equation are related to the graph of the equation by the points on the graph that satisfy the equation. In other words, the solution to an equation is the x-coordinate of the point(s) where the graph intersects the x-axis. If there are multiple points of intersection, each x-coordinate represents a different solution to the equation.

To solve a system of equations approximately using graphs and tables, you can graph each equation on the same coordinate plane and look for the point(s) of intersection. The coordinates of these points give you the approximate solutions to the system of equations. Alternatively, you can create a table of values for each equation and find the approximate solutions by locating the values that come close to satisfying both equations simultaneously.