2x -¬ y = 6
2x + y = 10
Line 1 2x -¬ y = 6
- ¬2x + y = ¬10
Line 2 0 = ¬4
Line 3 0 ≠-4 so there is no solution
Line 1
Line 2
Line 3
There is no error
Which of the following situations would give you a system of equations that have at least 2 solutions?
Two lines are parallel and have different y¬-intercepts.
Two lines have the same slope and both pass through the origin.
Two lines are perpendicular and have the same y-intercept.
Two lines have negative slopes and different y¬-intercepts.
Solve the system of equations.
3x = ¬-31 + 2y
5x + 6y = 23
x = ¬-5, y = 8
x = ¬- 29, y = ¬- 28
no solution
infinite solutions
Solve the system of equations.
6d + 3f = 12
2d = 8 ¬- f
d= 3, f = 2
d = 3, f = 14
no solution
infinite solutions
Which of the following systems is consistent and dependent?
y = x + 4; y = x -¬ 4
x + y = 4; 2x + 2y = 6
3x + y = 3; 2y = 6x + 6
4x ¬- 2y = 6; 6x -¬ 3y = 9
Which of the following best describes the graph of the equations?
4y = 3x + 8
¬-6x = ¬-8y + 24
The lines are parallel
The lines have the same x¬-intercept
The lines are perpendicular
The lines have the same y¬-intercept
