Solving Systems by Graphing and Substitution

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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

• intersecting lines
• parallel lines
• same lines

Tags

CCSS.HSA.REI.C.6

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

How many Solutions?

• One Solution
• No solution
• Infinitely Many Solutions
• (0, -1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

If the solution is infinitely many the lines will ________?

• intersect at exactly one point
• be parallel
• overlap each other
• never exist

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The first step in solving using the substitution method is __________.

• get x by itself
• get y by itself
• get either variable by itself
• add the equations together

Tags

CCSS.HSA.REI.C.6

In 3x + 2y = 10    and    x - 5y = 18, which variable should you isolate first?

• The x in the first equation
• The y in the first equation
• The x in the first equation
• The x in the second equation

Tags

CCSS.HSA.REI.C.6

The ordered pair that satisfies BOTH equations in the system is called the _____________________

• system of equations
• function
• graph
• solution 

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Hector graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)
• (1, -4)
• (-4, 1)
• (4, -1)