Linear equations (two variables)

Is there a solution to the system of equations?

y = -3x + 1/2

y = 3x - 4

• No- because the lines will be parallel and will never intersect.

• No- because the lines have different y-intercepts

• Yes- because the lines will NOT be parallel (-3 is not the same as 3)

• Yes- because the lines have the same slope.

1. The graph of a system of two linear equations is a pair of lines that are parallel. How many solutions does the system have?

• One Solution

• Two Solutions

• No Solution

• Infinitely Many Solutions

Which system of the equation has no solutions? (a)  

• A One solution
• B Infinitively many solutions
• C No solution
• D Positively solutions

Answer explanation

The lines have the same slope but different y-intercepts. No point in the graph satisfies both equations. So the system has no solution.

How many solutions

y= -8x + 12 and y= -8x - 12

• None

• 1

• 2

• Infinite

Which system of linear equation has graphs that show parallel lines?

• consistent

• dependent

• inconsistent

• independent

If a system has no solution, it is said to be ___________.

• elimination
• independent
• dependent
• inconsistent

Joseph graphed a system and found that the lines were parallel. Describe the system.

• Consistent and Dependent

• Consistent and Independent

• Inconsistent

The first equation in a system of two equations is x + 4y = 8. If the graph of the second equation does not intersect the graph of the first equation, what could be a second equation for this system?

(HINT: Convert the first equation to slope-intercept form.)

• y = 4x + 1

• y = 1/4x - 2

• y = -4x + 3

• y = -1/4x - 5

The linear equation 2x – 5y = 7 has

• no solution

• unique solution

• two solutions

• infinitely many solutions

Is 3x² – 7y = 13 a simultaneous linear equation?

• Yes

• No