7.1
A system of equations is ________ if it has at least one ordered pair that satisfies both equations.
What is "consistent'?
When you solve a system by ______, you solve for one variable, and plug the expression that equals the variable into the first equation.
What is "substitution"?
Add the equations to eliminate a variable when the coefficients are _____.
What is opposite?
_______ can be used to eliminate a variable when the coefficients are different.
What is multiplication?
A set of 2 or more inequalities with the same variables is called a _______.
What is a system of inequalities?
A system of equations is ________ if it has exactly one solution.
What is "independent'?
If you get a solution to a system of equations by substitution like this:
-8=0 what does that mean?
What is "no solution"?
Subtract the equations to eliminate a variable when the coefficients are _____.
What is the same?
It is easiest to eliminate coefficients that have a ____ greater than 1.
What is GCF?
The solution to a system of inequalities is the ____ of the 2 inequalities' graphs?
What is the overlap?
A system of equations is ________ if it has infinite solutions.
What is "dependent'?
When you get a solution like:
-12 = -12
What is "infinite solutions"?
The _____ method involves eliminating a variable by combining the equations in a system.
What is elimination?
The elimination method is also called the _______ elimination method, named after Carl Fredrick Gauss.
What is "Gaussian'?
y<2x-4 has which kind of boundary?
What is solid?
A system of equations is ________ if it has no solutions.
What is "inconsistent''?
If you have 2 equations like:
y = 3x-4
y=2x+6 what can you do?
What is "set them as equal and solve for x"?
3x+5y=11
5x-5y=5
What do you do to this system?
What is add to eliminate the +5/-5x?
Elimination methods were being used by the _____ as early as 179BC
What is the "Chinese"?
y > 4x -6 would graph with a ____ boundary, shaded _____ the line.
What is dashed and above?
How many solutions does this system have?
y=x+1
y=2x-2
What is 1?
4x+2y=-8
y=-2x-4 1, none, or infinite solutions
What is "infinite solutions"?
When subtracting equations don't forget to...
4x + 3y = 2
x - 7y = 8 what do I do here?
What is multiply the second equation by -4 and add or +4 and subtract?
-3x+4y>0
3x-4y > 8
does this have solutions or no solutions?
What is no solutions?