solving systems with substitution

solving systems with substitution

Multiple Choice

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Multiple Choice

Which graph represents a system of equations with infinite solutions?

• None of the above

Multiple Choice

Which graph represents a system of equations with no solution?

• None of the above

Multiple Choice

Give the solution to the system

• (3,1)
• (1,3)
• (-1,3)
• a hoppy hippo

Multiple Choice

What does
"solution to a system of equations"
mean?

• It's the point where both equations equal zero
• It's the point where graphs of both equations cross the y-axis
• It's the point that solves both equations at the same time
• It's the point where graphs of both equations cross the x-axis

Multiple Choice

How many solutions does this system of equations have?

y=3x+5

y=-4x+2

• one solution

• no solutions

• infinitely many solutions

Multiple Choice

How many solutions does this system of equations have?

y=5x+2

y=5x -3

• one solution

• no solutions

• infinitely many solutions

Multiple Choice

Solve the following systems of equations using substitution:

2y + x = -15

x = 3y

• (-3, -9)

• (-9, -3)

• (-3, 9)

• (9, -3)

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 system of equations using substitution

x=-6y

2x+12y=0

• (-6, 1)

• (0, 0)

• (1, -6)

• No solution

• Infinite solutions

Multiple Choice

Solve the system of equations using substitution

y=-5x

x+3y=28

• (-6, 30)

• (-2, 10)

• (44, 39)

• No solution

• Infinite solutions

Multiple Choice

Solve the system of equations using substitution.

-3x+5y=17

x=2y

• (-34, -17)

• (8, 4)

• (10, 20)

• No solution

• Infinite solutions

Multiple Choice

solve the following system of equations using substitution

x = 3y

2x - y =10

• (4, 5)

• (1, 1)

• (5, 8)

• (6, 2)

Multiple Choice

Solve the system of equations using substitution

6x = y

3y - 4x = 42

• (3, 18)

• (8, 2)

• (2, 8)

• (1, 6)

Multiple Choice

Solve the system of equations using substitution

-3x+5y=17

x=2y

• (-34, -17)

• (8, 4)

• (10, 20)

• No solution

• Infinite solutions

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 following systems of equations using substitution:

x = 6

y = 2x - 3

• (6, 6)

• (6, 9)

• (9, 6)

• (9, 9)