Systems of Equations on a Graph

The solution of a system of linear equations is...

• the y-intercept (b)

• the intersection of the two equations on a graph

• the second equations' answers

• the slope (m)

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

• Yes

• No

What is the solution to this system of equations?

• (4, -1)

• (-1, 4)

• (-4, 1)

• (-4, -1)

What is the value of the x-coordinate to the solution to this system of linear equations? 2x + 3y = 15 and -x + 3y = 3

• 3

• -3

• 6

• 4

What is the value of the y-coordinate in this system of linear equations?

6x + 10y = -32 and 6x + 9y = -27

• y = 5

• y = 0

• y = -5

• y = 1

When both lines in a system are identical, the system has __________________.

• infinite solutions

• one solution

• no solution

• parallel solutions

Solve the system given:
3x - y = 7
2x + y = 3

• (-1,2)

• (5,4)

• (4,5)

• (2,-1)

What type of system is being described by the graph?

• Consistent but Independent

• Inconsistent

• Dependent

• Independent

If a system of linear equations has one solution, what does this mean about its slopes and y - intercept?

• Equal Slopes and Equal y-interceps

• Equal Slopes but Not Equal y-intercepts

• Not Equal Slopes and Either Equal or Not Equal y-intercepts

• None of the above