Identifying Solutions
What is the first step in solving a system of equations that has 2 equations in standard form?
Isolate the y
By graphing, the solution to the system
y = 3x - 4
y = -3x + 2
What is (1,-1)?
2x + y = -4
y = -2x - 4
True or False
A system with one solution has a graph with two intersecting lines.
True
If a system of equations has infinite solutions, then the 2 equations are parallel lines?
No.
By graphing, the solution to the system
y = -(3/2)x - 4
y = (1/2)x + 4
What is (-4,2) ?
5x + 5y = 5
y = -x + 1
True or False
A system of equations with no solution has a graph with parallel lines.
True
Is the following ordered pair a solution to the equations? (0,-4)
y = -20x + 1
20x + y = 6
What is No?
By graphing, the solution to the system
y = (5/4)x - 2
y = (5/4)x -1
What is no solution?
2x + 4y = 8
y = -1/2x + 2
A system of equations with parallel lines have the same _________?
Slope
Is the ordered pair a solution to the system? (1,3)
2x - 3y = -7
-5x + 3y = 4
Yes
By graphing, the solution to the system
y = (1/3)x + 2
y = -x - 2
What is (-3,1) ?
6x + 6y = 0
y = -x
A system of equations with infinite solutions has how many lines on its graph?
One
What is the solution to a system of 2 equations?
(x, y)
By graphing, the solution to the system
y = x
y = -x
What is (0,0) ?
100x - 100y = 100
y = x - 1
What form is this equation in?
y = 2 x -10
Slope and y-intercept form