Solving System of Linear Equations Basics

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

The equations 4x + 3y – 1 = 5 and 12x + 9y = 15 represent 

• No  solution

• Infinite many solution

• Unique solution

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

• No solution

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

•  parallel

• always coincident

• intersecting or coincident

•  always intersecting

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE

• FALSE

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

You can solve systems using these methods:

• graphing, substitution, and elimination

• rearranging, thinking, and guessing

• only by graphing