Solving simultaneous equations by Graphing

All about Systems of Equations

100

What is a LINEAR equation?

An equation that when graphed, creates a straight line.

200

Find the intercepts of this linear equation

-3x + 5y = 30

(0, 6)

(-10, 0)

300

What does it mean to "find the solution" to a system of linear equations?

It means to find the point (x and y value of) where the 2 lines intersect.

400

Write a linear equation

y-intercept: 1, slope: -1

y = -x + 1

500

solve simultaneous equations by graphing

5x + 2y = 10

-5x + 4y = 20

point of intersection ( -2, 10)

Graphing

100

How many solutions are represented in the graph?

1 solution

200

14) What is the solution to the system of linear equations?

(2,2)

300

Solve by graphing:

y=-2x+5

y=3x

(1, 3)

400

Solve by graphing:

y=1/2x -5

y=x+1

(-12, -11)

500

Solve by graphing:

y=2/3x+6

2x+3y=12

(-1.5, 5)

Test Review

100

Select 2 points that are on the graph of the line 2x+4y=20

a. (0,5)

b. (10,0)

c. (1,4)

d. (5,0)

A and B

200

Find the intercepts of this linear equation

6x + 12y = 60

(0, 5)

(10, 0)

300

Find a point that fits on the blue line. Find a point that doesn't fit on the black line.

blue: (10,0) (0,5) etc.

black: (0,9) (-3,8) etc.

400

Change the blue equation to look like a linear equation.

y=2x+1

500

Write an equation for this line:

y-intercept: 4, slope: -2

y=-2x+4