Solving Systems of Linear Equations by Graphing and Substitution

2 or more linear equations with the same set of variables is called...

• Slope

• System of Equations

• Linear Equations

• Quadratic Equations

a method to solving a system of equations using the coordinate grid 

• Systems by Graphing
• Systems by Substitution
• Systems by Elimination
• Systems by Drawing

What is the first step in solving a system by graphing?

• Write both linear equations in slope-intercept form
• Get x by itself
• Compare the slopes of both equations
• Write both equations in standard form

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE
• FALSE

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

What is the solution?

• (2, 2)
• (3, 2)
• (3, 4)
• (2, 3)

What is the

slope-intercept form

of the equation

-8x + 2y = 4

• none

• y = 2 - 4x

• y = 4x + 2

• y = 4x - 8y

What are the steps for graphing a line?

• 1. Plot y-intercept
  2. count slope ratio plot second point
  3. Draw the line.
• 1. Make a table
  2. Plot slope
  3. Draw line
• 1. Plot two points
  2. Check slope
  3. Draw line
• 1. Draw line
  2. Hope it is right

y = -2x + 18
y = 8

• (5, 8)
• (-5, 8)
• (2, 8)
• (-2, 8)

Give the solution to the system.

• (3,1)

• (1,3)

• (-1,3)

• No solution