Graphing systems
What is the solution to the system of equations if the lines intersect?
One solution
What is the first step in substitution?
Solve one equation for a variable
What’s the goal of elimination?
Eliminate one variable
Why multiply in elimination?
Match coefficients
What does the shaded region represent?
Solution set
What does it mean if two lines are parallel?
They never intersect
Solve: y = x + 2, 2x + y = 10
(3, 5)
Solve: x + y = 7, x - y = 1
(4, 3)
Solve: x + 2y = 10, 2x + 3y = 17
(4, 3)
Which inequality shades below the line?
A.y > x + 1
B. y = x + 1
C. y ≥ x + 1
D. y < x + 1
D.y < x + 1
If two lines are the same, how many solutions does the system have?
Infinite
Solve: y = 5x, 10x - y = 0
(1, 5)
Solve: x + y = 10, x - y = 2
6, 4
Solve: 2x + 3y = 12, 4x - 3y = 6
(2, 2)
if shaded areas do not overlap, what’s the result?
No solution
A graph shows two lines that never intersect and are not the same. What is true?
No solution
Solve using substitution:y = 5x10x - y = 0
(1, 5)
Solve: 3x + 2y = 12, -3x + y = 3
(2, 3)
After coefficients match, what do you do?
Subtract or add
Which uses a dashed line and shades above?
A. y ≤ -2x + 1
B. y = -2x + 1
C. y > -2x + 1
D. y < -2x + 1
C. y > -2x + 1
What is the solution to the system if the lines intersect at (3, 2)?y = 2x - 4y = -x + 5
(3,2)
Solve:
y = 2x + 1
3x - y = 5
(1, 3)
Solve: 2x - y = 5, 3x + y = 10
(3, 1)
Solve: 3x + 2y = 16
5x - 4y = 2
(2, 5)
Which point is in the solution set for:
y > 2x - 1 and y < -x + 5?
(2, 3)