Solving System of Equations by GRAPHING Part#1

Solving System of Equations

​What is a SYSTEM of EQUATIONS ?

A system of equations is a set of two LINEAR equations

​What is SOLVING a system of equations ?

Solving a system of equations means to find a SOLUTION (an ordered pair) that makes both equations true.

Types of SOLUTIONS

Multiple Choice

How many SOLUTIONS will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Multiple Choice

What is the SOLUTION of the given system of equations?

• 1
• -2
• (1, 2)
• (1, -1)

Multiple Choice

How many SOLUTIONS does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

Multiple Choice

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Multiple Choice

Solve the system of equations by graphing.

• (4, 7)

• (3, 5)

• (6, 7)

• (5, 3)

Multiple Choice

Solve this system of equations by graphing.

y = 4x - 2

y = - x + 3

• (-2,-1)

• (-1,-2)

• (1,2)

• (2,1)

Multiple Choice

Solve the following system by graphing.  What is the solution?

• (-4, 2)
• (4, 2)
• (2, -4)
• (2, 4)

Multiple Choice

Match the system of linear equations to the corresponding graph.

$$y=4x-4$$  
$$y=-\frac{3}{2}x+7$$  

Multiple Choice

What is the solution to this system of equations? Solve by graphing.

• (7, -8)
• (-7, 8)
• (-7, -8)
• (7, 8)

Multiple Choice

Solve by substitution or graphing.
y = - 3x - 4
y = - 8x - 9

• (5, 5)
• (-5, -5)
• (11, 13)
• (-1 , -1)