Math Review
What is slope intercept form?
y=mx+b
Solve this system:
y = 6x − 11
−2x − 3y = −7
(2,1)
If the lines on a graph make an X, then how many solutions does it have?
One Solution
The solution to the system:
x = 4y
2x + 3y = 22
What is (8, 2)
Find the Solution:
7x + 2y = −19
−x + 2y = 21
(-5,8)
More than one equation to be solved at the same time is know as this.
What is System of Equations
If the lines on a graph are parallel, then how many solutions does it have?
None, zero, 0
Find the solution:
6x + 6y = −6
5x + y = −13
(-3, 2)
The solution to the system
y = x - 2
3x - y = 16
What is (7, 5)
Find the solution:
4x − y = 20
−2x − 2y = 10
(3, -8)
The answer to an equation or system of equations.
What is a solution set?
Solve this solution:
−3x + 3y = 4
−x + y = 3
No Solution
If your graph LOOKS like it only has ONE line, how many solutions does it have?
MANY, INFINITE
The solution to the system
y = 3x - 1
7x + 2y = 37
What is (3, 8)
Find the solution:
−24 − 8x = 12y
1 + 5/9 y = − 7/18 x
(6, −6)
The sum of two numbers is 104. Their difference is 68. What are the numbers? ?
What are 86 and 18?
In DESMOS, how do you find the solution after having put in both of your equations?
Click the GRAY dot.
Find the Solution:
−5x − 8y = 17
2x − 7y = −17
(-5,1)
The solution to the system
3x - 2y = 4
y = 2x - 1
What is (-2, -5)
Find the Solution:
−4y − 11x = 36
20 = −10x − 10y
(-4,2)
One of the methods used to solve a system of equations where we replace the variable with its value.
What is the substitution method?
Find the solution:
−2x − y = −9
5x − 2y = 18
(4,1)
How many equations are necessary to make a system?
2 equations
The solution to the system
x + y = 12
3x = y
What is (3, 9)?
Find the solution:
−16y = 22 + 6x
−11y − 4x = 15
(-1,-1)