Graphing Systems of Linear Equations

Solve using the elimination method.

• ( 1, -2)

• (1, 2)

• (-1, 0)

• (2, 1)

What is the solution to this system of equations?

4x + y = 6

x - 2y = 6

• (2,-2)

• (1,2)

• ( 1/2 , 4 )

• (-2,2)

• (2, 4)

Which of the following are ways to solve systems of equations? 

• Graphing

• Substitution

• Elimination

• All of the above

What is the value of the x-coordinate to the solution to this system of linear equations? 2x + 3y = 15 and -x + 3y = 3

• 3

• -3

• 6

• 4

What is the value of the y-coordinate in this system of linear equations? 6x + 10y = -32 and 6x + 9y = -27

• y = 5

• y = 0

• y = -5

• y = 1

An ordered pair (x , y) is a solution for a System Of Equations if :

• It makes any one Equation true.

• It makes no equation true .

• If it makes both Equations true.

• If x= 2 , y= 2

What is the solutions to the following system of equations?

• (5,2)

• (2, 5)

• (0,3)

• Infinity Many Solutions

• No Solutions

If a system of linear equations has one solution, what does it mean about the two lines when graphed?

• Parallel lines - same slope, different y-intercept

• The same line - same slope, same y-intercept

• Intersecting lines - different slope (y-intercept can be the same)

Find the solution to the system by GRAPHING (use a blank graph in noteability or graph paper) hint: solve the second equation for y to get into y=mx+b format

• (5, 2)

• (2, 5)

• (1, 3)

• (-4, -3)

Does the ordered pair (1, 5) satisfy the linear system?

• Yes, it makes both equations true

• No, it is not true for y = 4x + 1

• No, it is not true for 3x +2y = 13