Systems with Graphs
Solving by Substitution
Random
What step is this?
Solving Equations
100
What is the solution?
(-1,1)
100
Solve the systems of equations:
-3x + 4y = -2
y = -5
(-6, -5)
100
Is the given point a solution to the system of equations?
Point: (2,6)
x + y = 8
3x - y = 0
Yes
100
What step is being performed?
2( x + 4) = 24
2x + 8 = 24
Distributive Property
100
Find x
x = -2
200
How many solutions are there?
No Solutions
200
Solve the systems of equations:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Is the given point a solution to the system of equations?
Point: (1/2, -2)
6x + 5y = -7
2x - 4y = -8
No
200
What step is being performed?
2x + 4 = 16
2x = 12
Isoloate the Variable
200
Find x
x = 4
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
What is this form called?
y = mx + b
Slope Intercept Form
300
What step is being performed?
2x + 12 = -x + 36
2x = -x + 24
Get rid of same thing on both sides.
300
Find x
x = 0.3
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
Determine which method you would use to solve the following system of equations. Explain your reasoning.
0.3x - 0.2y = -2.1
0.6x + 1.3y = 0.9
Elimination - the equations are already in standard form.
400
What step is being peformed:
2x + 3x -5 = 15
5x - 5 = 15
Combine like terms.
400
Find y
y = 4
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the following System of Equations
-6y + 2 = -4x
y - 2 = x
First step, substitute the x into the top equation.
(-5,-3)
500
What step is being performed?
2x = 24
x = 12
Solving for the variable.
500
Solve for x
x = 16/3 or 5.3333333...