Check and Graph Solutions to Two-Variable Equations

If I solve a system of equations, and the answer at the end is 0=2, what is the solution?

• 2

• Infinite solutions

• 0

• No solution

Solve by elimination:

3x+7y=23

-3x-7y=-17

• No solution

• Infinite number of solutions

• (-3,3)

• (3,3)

Which system has no solution?

• y = 7x - 2

  -7x + y = 4

• y = 2x - 1

  y = x + 1

• -6x + 2y = 12

  y = 3x + 6

The pair of equations 9x+3y+12=0 and 18x+6y+26=0 have

• Unique solution

• Exactly two solutions

• Infinitely many solutions

• No solution

For what value of k will pair of equations have no solution? 3x+y=1 , (2k-1)x+(k-1)y=2k+1

• 1

• 2

• 3

• 4

How many solutions are there for the graph of y=2x+1 and y=2x-3

• One Solution

• Infinite Solutions

• Zero Solutions

• Two Solutions

• The solution has an infinite number of solutions.

• The system has no solution.

• The only solution to the system is (0, -3).

• The only solution to the system is (0, 2).

If two equations have DIFFERENT SLOPES, they will have

• one solution

• no solution

• infinite solutions

Beth showed her friend how to solve this system of equations.
y = 4x - 2
y = 4x + 3
Which statement is true?

• The graphs of the lines intersect at (2, 4).

• The graphs of these lines will never intersect.

• The graphs have infinite solutions.

• The equations intersect the y-axis at 3.

A solution of a system is where...

• the 2 lines meet

• you find the answer

• the graph intersects the lines