Solving Systems of Equations: Substitution Method

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

CCSS.8.EE.C.8B

Solve the system by substitution. 
-2x - 2y = 16
y = -8

• (0, -8)
• (-8, 0)
• (-16, -8)
• (-16, -8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Using the substitution method, what goes in the parentheses to solve this system?

Solve the system by substitution. 
-5x - 4y = -9
y = 6

• (3, 6)
• (6, -3)
• (-3, 6)
• (6.8, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.HSA.REI.C.6

Fill in the parentheses to complete the second step of solving this problem.

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

• TRUE
• FALSE

Tags

CCSS.HSA.REI.C.9

Where did the error occur in this problem?

• There is no error, the solution is (59,13)

• The wrong equation was used to solve for x.

• When solving for y, 14 should have been subtracted instead of added.

• When solving for x, 13 should have been divided instead of multiplied.

Solve the system by substitution. 
y = 2x − 11 
2x − 8y = 4 

•  (6, 1)
• (6, −4)
• (6, −1)
• Infinite number of solutions  

Tags

CCSS.HSA.REI.C.6

If you were to graph the equation y = 2x - 3, how would you begin?

• By going up 2 and over 1

• By placing a point at -3 on the y-axis

• By going down 2 and over 3

• By going up 2 and over 3