Situs gratis pertama yang direkomendasikan untuk membuat blog adalah Situs gratis pertama yang direkomendasikan untuk membuat blog adalah Blogger.

Graphing Systems of Equations


A system of equations is a set of two or more equations with the same variables. Below are some examples of systems.

The solution of a system of equations in two variables is an ordered pair that satisfies both equations.

One method for solving a system of equations is to graph the equations on the same coordinate plane. The coordinates of the point of intersection are the solution.

 

Example

Solve each system of equations by graphing.

 

1.    y = 2x

y = –x + 3

 

Alternative Solutions:

 

The graphs appear to intersect at (1, 2).

Check this estimate by substituting the coordinates into each equation.

Check:

The solution of the system of equations is (1, 2).

 

2.   x – y = –2

x + y = 4

 

Alternative Solutions:

 

The graphs appear to intersect at (1, 3). Check this estimate.

The solution of the system of equations is (1, 3).

 

A graphing calculator can be used to solve systems of equations or to check solutions.

 

Example

Sales Link

 

3.  The Math Club is selling T-shirts for a profit of $4 each and caps for a profit of $5 each. The club wants to sell 50 items and make a profit of $230. How many of each item should the club try to sell?

 

Alternative Solutions:

 

Let x = the number of T-shirts and y = the number of caps. You can write two equations to represent this situation.

Graph x + y = 50 and 4x + 5y = 230. The graphs appear to intersect at (20, 30). Check this estimate.

Check:

They should try to sell 20 T-shirts and 30 caps.

 

 

Sumber

Labels: Mathematician

Thanks for reading Graphing Systems of Equations. Please share...!

Back To Top