The point (3,5) is a solution to the system:
y=2x-1
4x-3y=3
False!
When do you flip an inequality symbol?
When you multiply or divide by a negative number.
First step in solving a word problem. (After reading the problem)
Identify and label the variables
Whats the next step in solving.
-4x + 6y = 20
3x - 6y = -14
ADD the equations together.
Where do we visually find the solution to a system of linear equations?
Solutions occur at the intersections of equations.
The solution to a system of inequalities is not a point its a... what?
Region or area. If you said Half-plane double the points!
The solution to the system
y = x - 2
3x - y = 16
What is (7, 5)
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?
$30
The answer to an equation or system of equations.
What is a solution?
A system that has no solution.
Inconsistent (Independent)
-3y<15x+2
Tell me: slope, y-intercept, Dotted or dashed, Above or below. Need all parts correct!
m=-5. b=-2/3. Dotted Above (sign change)
The solution to the system
-3x + y = - 1
7x + 2y = 37
What is (3, 8)
Multiplying an entire equation by 3 changes the solution to the equation. True or False?
False. It changes what the equation is equal to but the solutions stay the same.
For example, 3=3
Its the same line, infinitely many solutions (Consistent Dependent)
Describe the graph:
x≤-2
The name of Dr. Seiders and Mr. Munoz's rap duo.
"Ma+h n3rdz"
All systems can be solved using substitution. True or False?
True. It may be easier to use another method but it is possible to use only substitution.
The answer to an addition problem
What is a Sum.
A Consistent system.
Rewrite in slope-intercept form:
5-y>-1/2(x+8)
y<1/2x+9
A solution to:
y≤3
y≥-2
Any point with a y-value from -2 to 3.
Ex: (4, 2) or (-19,-1) or (5,0)
Why is solving a system by graphing not always ideal?
It may only give an approximation of a solution not an exact answer.