A graph where two lines cross at exactly 1 coordinate pair (x,y) has how many solutions
One
A graph with one solution will have how many points of intersection?
1
Solve for X:
– 14 = 3x + 4
X= -6
y = -3
x = 5
The solution to the system of equations:
y=4
x= –5y + 6
What is (-14, 4)
A graph with a line directly on top of another line has how many solutions
Infinite
True or False: The graph of a system of equations with infinite solutions will have an intersection point in one place
False: They are the exact same line so all the points are the same
Solve for X:
4x − 8 = 2x + 8
The solution to the system of equations:
y = 3x - 2
y = -x - 2
What is (0, -2)?
x = 4y
2x + 3y = 22
A graph with parallel lines has how many solutions
None
4(n-1) = 4n - 1 has how many solutions, and explain WHY.
None, because they have different y-intercepts
Solve for X:
5(z+4)=2(3z+1)
X= 18
The solution to the system of equations:
y= 2x – 2
y= –x +7
What is (3, 4)
y = 3x - 1
7x + 2y = 37
The name of the point that crosses the y-axis.
What is the y-intrcept
Determine if this system of equations has all one or no solution and explain WHY.
3x+2=5x−4
One solution (3, 11) because they have a different y-intercept and a different slope
Solve for X:
2(3x+4) = 4(2x+1)
X= 2
y = (1/3)x - 3
2x - y = 8
3s - 2t = 4
t = 2s - 1
The answer to an equation or system of equations.
What is an ordered pair?
Determine which of the following is all solutions, no solutions, and one solution
a. y=−4/3x+4
y=−4/3x−1
b. y=4x−5
y=−2x+7
c. y=5x−15
y=5(x−3)
A= none
B= one
C=all
Solve for X:
6y−15=15y−10
X= - 5/9
y - 3x = 3
y = 3x - 2
The solution to the system
y = x - 2
3x - y = 16
What is (7, 5)