Solve Using Graphing:
y = -3
y = 5/3x + 2
what are 3 methods of solving systems of equations?
elimination
graphing
substitution
The method of solving equations where you add or subtract equations to end up with one variable.
elimination
when graphing linear inequalities what does < and > mean
Dotted Line
Solve the systems of linear equations by graphing:
Solve the systems of equations using substitut
x=-3
x - 3y=-15
Use ELIMINATION to solve each system of equations.
-3x + 2y = 23
-5x - 2y = 17
(-5, 4)
what does ≤ and ≥ mean when graphing linear inequalities
solid line
What is the solution?
(-1,1)
Solve the systems of equations using substitution:
y = 6x
2x + 3y=-20
(-1,-6)
Use ELIMINATION to solve each system of equations.
-4x + 7y =-13
4x - 7y =3
no solution
How is graphing systems of inequalities different than graphing systems of equations?
they use dotted lines sometimes and you have to shade to find the solution
How many solutions are there?
No Solutions
Solve the systems of equations using graphing:
x=4y
x+2y=12
(8,2)
Use ELIMINATION to solve each system of equations.
8x+ 12y = 20
-8x - 12y = -20
infinite solutions
systems of inequalities can only be solved ______
graphically
How many solutions are there?
Infinitely Many Solutions
Use substitution to solve the following system of equations.
y = -2x + 3
8x + 4y =12
infinitely many solutions
Use ELIMINATION to solve each system of equations.
x + y = 4
2x - 5y = 15
y ≤ x − 2
y > −3x + 5