System of Equations (general and graphing)
State whether the system of equations has : one solution, no solutions or infinitely many solutions.
x-y=6
2x-10y=4
Solution; (7,1)
What is the slope of the linear equation: x-2y=0
m = 1/2
Solve the system of linear equations
9x+y=2
-4x-y=-17
* Answer is either a point (x,y), no solution or infinitely many solutions
(-3,29)
Determine whether the system has one solution, no solution, or infinitely many solutions
-x+y=1
x-y=1
* Answer is either a point (x,y), no solution or infinitely many solutions
No Solution
Solve the system of linear equations by graphing.
y=-2x+2
y=-x-1
* Answer is either a point (x,y), no solution or infinitely many solutions
(3,-4)
A system of equations whose lines have the same slope but different y-intercepts are called....
a) Consistent, Independent
b) Inconsistent
c) Consistent, Dependent
b) Inconsistent. The lines are parallel.
Isolate the "y".
3x+5y=25
y=-3/5x+5
Solve the system of linear equations by elimination
-x+y=4
x+3y=4
* Answer is either a point (x,y), no solution or infinitely many solutions
(-2,2)
Determine whether the system has one solution, no solution, or infinitely many solutions
2x-2y=4
-x+y=-2
* Answer is either a point (x,y), no solution or infinitely many solutions
Infinitely Many Solutions
Solve the system of linear equations by elimination
3x+4y=29
6x+5y=43
* Answer is either a point (x,y), no solution or infinitely many solutions
(3,5)
Solve the system of linear equations:
y=-x+4
y=2x-8
* Answer is either a point (x,y), no solution or infinitely many solutions
(4,0)
Solve the system of linear equations.
6x-9=y
y=-3x
* Answer is either a point (x,y), no solution or infinitely many solutions
(1,-3)
Solve the system of linear equations by elimination
10x-9y=46
-2x+3y=10
* Answer is either a point (x,y), no solution or infinitely many solutions
(19,16)
Solve the system of linear equations.
y=-6x-8
y=-6x+8
* Answer is either a point (x,y), no solution or infinitely many solutions
No Solution
Solve the system of linear equations by substitution
y=2x-5
-x+y=2
* Answer is either a point (x,y), no solution or infinitely many solutions
(7,9)
Solve the system of linear equations by graphing
4x-4y=8
y=x-2
* Answer is either a point (x,y), no solution or infinitely many solutions
Infinintely many solutions
Solve the system of linear equations.
-5x+3y=51
y=10x-8
* Answer is either a point (x,y), no solution or infinitely many solutions
(3,22)
Solve the system of linear equations by elimination
-2x-5y=9
3x+11y=4
* Answer is either a point (x,y), no solution or infinitely many solutions
(-17,5)
Solve the system of linear equations.
15x-5y=-20
-3x+y=4
* Answer is either a point (x,y), no solution or infinitely many solutions
Infinitely Many Solutions
Solve the system of linear equations by elimination
8x+3y=-7
7x+2y=-3
* Answer is either a point (x,y), no solution or infinitely many solutions
(1,-5)
Solve the system of linear equations.
3y+4x=3
x+3y=-6
* Answer is either a point (x,y), no solution or infinitely many solutions
(3,-3)
Solve the system of linear equations.
2x-y=23
x-y=-1
* Answer is either a point (x,y), no solution or infinitely many solutions
(24,25)
Solve the system of linear equations by elimination
12x-7y=-2
8x+11y=30
* Answer is either a point (x,y), no solution or infinitely many solutions
(1,2)
Solve the system of linear equations.
3x-2y=-5
4x+5y=47
* Answer is either a point (x,y), no solution or infinitely many solutions
(3,7)
Solve the system of linear equations by elimination
-3x+4y=18
6x+2y=-6
* Answer is either a point (x,y), no solution or infinitely many solutions
(-2,3)