Solving Pairs of Linear Equations in Two Variables

Does the following system have One Solution, No Solution, or Infinite Solutions.

y = 4x + 8

y = -5x + 3

• One solution

• No solution

• Infinite solution

• many solutions

Solve for x and y

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Which of the following are ways to solve systems of equations? 

• Graphing
• Substitution
• Elimination
• All of the above

Graphically, the pair of equations 6x – 3y + 10 = 0 , 2x – y + 9 = 0 represents two lines which are

• intersecting at exactly one point
• intersecting at exactly two points.
• coincident. 
•  parallel.

The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have  

•  a unique solution
• exactly two solutions
• infinitely many solutions
• No solution

If a pair of linear equations is consistent, then the lines will be 

•  parallel
• always coincident
• intersecting or coincident
•  always intersecting

For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines?

• 1/2
• −1/2
• 2
• −2

Which of the following is a situation of NO SOLUTION for a system of equation in graphical method of solution

• Intersecting lines

• Parallel lines

• Coincident lines

Equation of line parallel to the line x + 5y = 7 is

• 3x + 7y = 4

• 2x + 10y = 24

• 2x + 10y = 21

• 7x-2y =8

The graph of the line x = 6 is a line___

• parallel to x -axis at a distance of 6 untis from origin
• parallel to y-axis at a distance of 6 units from the origin
• making an intercept 6 on the x-axis
• making an intercept 6 on both the axis