# of Solutions
y= 3x + 4
y= 3x - 5
How many solutions does this system have? If any, solve for the solution.
No solution
y = 2x
x + 2y = 5
Find the solution to the system.
(1, 2)
3x + 3y = -3
Isolate "y" by itself
y = -x - 1
The solution to a system of equations is (3, 7). Choose two equations that might make up the system.
a. y = 4x - 5
b. y = -2x + 13
c. y = 3x + 1
d. y = -x + 10
e. y = 2x + 1
a. y = 4x - 5
b. y = -2x +13
Which one of the following coordinate pairs make the equation x + 3y = -6 true?
a. (6,0)
b. (-6,0)
c. (0,-2)
d. (0,2)
e. (6,-4)
b. (-6,0)
c. (0,-2)
e. (6, -4)
x=5
20= 2x + y
How many solutions does this system have?
One solution.
y = 5x + 20
y = x + 4
Find the solution to the system.
(-4,0)
4x + 2y = 12
Isolate "y" by itself.
y = -2x + 6
y = 2x + 3 is one equation to the system. If the solution is (0,3), what is the other equation in the system.
a. y = 2x + 6
b. y = 3x + 4
c. 6x + 3y = 9
d. 2x + y = 6
c. 6x + 2y = 9
The point where the graphs of two equations intersect has y-coordinate 5. One equation is y=-3x+5. Find the other equation if its graph has a slope of 1.
y = x + 5
2y + 3y = 12
y = 10x + 4
How many solutions does this system have?
One solution
y = 3x - 22
y = 2x - 15
Find the solution to the system.
(7,-1)
7y + 3x = 15
Isolate "x" by itself.
x = -7/3y + 5
y = -2x - 6
Is (-1, -4) a solution to the system above?
Yes.
Which coordinate pair makes the equation
1/2x + 2y = 4 true?
a. (2,4)
b. (4,2)
c. (0,2)
d. (-2,4)
c. (0,2)
2x + 5y = 12
4x + 10y = 22
How many solutions does this system have? If any, solve for the solution.
No Solution
y = 5x - 7
-3x - 2y = -12
Find the solution to the system.
(2,3)
4y + 3x = 2
Isolate "y" by itself.
y = -3/4x + 1/2
Which equation, together with y=-1.5x+3, makes a system with one solution?
a. y = -1.5x + 6
b. y = -1.5x
c. 2y = -3x + 6
d. 2y + 3x = 6
e. y= -2x + 3
e. y = -2x + 3
Here is an equation: 4x−4=4x+__. What could you write in the blank so the equation would be true for:
a. No values of x
b. All values of x
c. One value of x
a. 19
b. -4
c. 4x
A & B can vary.
2x + 3y = 6
y = -2/3x + 2
infinitely many solutions
2x + y = 20
6x - 5y = 12
Find the solution to the system.
(7,6)
20x + 200y = 40
Isolate "x" by itself.
x = -10y + 2
The solution to a system of equations is (5,-19). Choose two equations that might make up the system.
a. y = -3x − 6
b. y = 2x − 23
c. y = -7x + 16
d. y = x − 17
e. y = -2x − 9
c. y = -7x + 16
e. y = -2x - 9
The solution to a system of equations is (5,-19). Choose two equations that might make up the system
a. y = -3x - 6
b. y = 2x - 23
c. y= -7x + 16
d. y= x − 17
e. y= -2x − 9
c. y = -7x + 16
e. y = -2x -9