Linear Equations Types of Solutions

When two equations are written in slope-intercept form, how can you tell if there will be no solution?

• The equations have a different slope and a different y-intercept.

• The equations have a the same slope and a different y-intercept.

• The equations have the same slope and the same y-intercept.

• The equations have a different slope.

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

How many solutions will this system have?

• No Solution

• Infinitely Many Solutions

• No Clue

• One solution

It is a system of linear equations in two variables with no solution.

• Consistent

• Dependent

• Inconsistent

• Independent

How many solutions does the system of linear equations shown have?

• 0

• 1

• 2

• Infinite

How many solutions does the system containing x + 2y = 4 and 2x + 4y = 8 have?

• 0

• 1

• 2

• Infinite

It refers to the set of two or more linear equations that have variables in common.

• System of Linear Equations

• System of Linear Inequalities

• System of Quadratic Equations

• System of Trigonometric Equations

Which of the following may represent the graph of a linear equation in two variables?

• Coinciding lines

• Intersecting lines

• Parallel lines

• All of these

If the graph of a system of linear equations appear as coinciding lines, then it is called a __________.

• Dependent system

• Independent system

• Consistent system

• Inconsistent system