C5L3 Solving Systems of Equations

C5L3 Solving Systems of Equations

Vocabulary

Intersecting Lines: Lines that meet or cross at one point are said to intersect​ and have One Solution. Intersecting lines have different slopes.

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​Parallel Lines: Lines that have the same slope and different y-intercept, parallel lines have No Solution​ to the system of equations

Same Line: Lines that have the same slope and the same y-intercept are said to be the same. The Solution to a system with the same lines is said to have an Infinite number of Solutions​

Multiple Choice

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution

• (6, -2)

Multiple Select

What are some problems with solving by graphing?

• Your graph has to be perfect to get an answer

• Any mistake and your answer will be wrong

• Takes a long time to graph both lines and solve

• Need a coordinate grid to graph the lines correctly

• Need a ruler to make a straight line

Multiple Choice

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

• Intersecting lines

• Same line

• Parallel lines

Multiple Choice

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

• Parallel lines

• the same line

• Intersecting lines

Multiple Choice

How many solutions will this system have?

• No solution

• One Solution

• Same Slopes

• Infinitely Many Solutions

Multiple Choice

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Multiple Choice

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

• (6, 6)

• (6, 9)

• (9, 6)

• (9, 9)

Multiple Choice

Solve the following systems of equations using substitution:

5x - 2y = 3

y = 2x

• (6, 3)

• (1, 2)

• (3, 6)

• (2, 1)

Multiple Choice

Solve the equation from the video:

y = x + 8

4x - y = -2

• (2,8)

• (2,10)

• (-2,10)

• (-2,-10)

Multiple Choice

Solve the System of Equations by Substitution

y = 5x + 6

-3x + 4y = 7

• (1,-1)

• (1,1)

• (-1,1)

• (-1,-1)

Multiple Choice

Solve:

y = 7x + 9

2y + 4x = -18

• (5, 0)

• (9, 18)

• (-2, -5)

• (1, 16)

Multiple Choice

Solve the system of equations by substitution (hint: both equations are equal to y, set them equal to each other and solve for x).

y = -4x + 5

y = 3x - 16

• (-3, -25)

• (3,-7)

• (11, 17)

• (21, 47)

Poll

Rate your ability to Solve Systems of Equations from 1 to 5, 1 (I need help) and 5 (I can solve with confidence)

• 1

• 2

• 3

• 4

• 5