Question

1) How do the solutions to an equation relate to the graph of the equation?

2)How do you solve a system of equations approximately using graphs and tables?

Answer 1

One: Graphs help you solve equations, and equations help you solve graphs.
Because the graph is a diagram of the equation, showing at its simplest the y answer for each value of x.

Two: You have to solve for y, graph it, and then find where the lines intersect.You can take a table and put in all the x and y valuesThen graph it.. And see where it intersectsBecause usually these equations are lines.

Answer 2

Answer with explanation:

1.

When, you consider two equations ,having two variables in two dimensional plane, there are three possibilities

1.Unique Solution: The graph of two lines will intersect at a point.The The Coefficient of Variables as well as constant of one equation will be not proportional to Coefficient of Variables as well as constant of another equation.

2. No Solution: The two lines are parallel.The Coefficient of Variables of one equation will be proportional to Coefficient of Variables of another equation but constants are not proportional.

3, Infinite number of Solution: The two lines will be Coincident.The Coefficient of Variables as well as constant of one equation will be proportional to Coefficient of Variables as well as constant of another equation.

2.

To solve the system Graphically, Procedure is described in 1.

To solve using tables,

For some x values ,get y value of first equation by substituting values of x in first equation.

And Similarly,for Some x values get y values of another equation by substituting values of x in second equation.

Check out both the tables. Same x and y value of two equation is the solution of the system of equation.