Systems with Graphs
Solving by Substitution
Solving for a variable
Random
100
What is the solution?
(-1,1)
100
Solve the systems of equations:
-3x + 4y = -2
y = -5
(-6, -5)
100
Solve for x:
3x + 6y = 12
x=-2y+4
100
What is this form called?
y = mx + b
Slope Intercept Form
200
How many solutions are there?
No Solutions
200
x = 3
2y= 3x-5
(3, 2)
200
Solve for y:
2x - 5y + 4=12 + 3x
y= -1/5x + 8/5
200
Is the given point a solution to the system of equations?
Point: (2,6)
x + y = 8
3x - y = 0
Yes
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
Solve for x and y:
3x + 4y = 15
x= -4/3y + 5
y= -3/4x + 15/4
300
What is the solution to the system below?
(1, -2)
400
What is the solution to this system of equations:
y= 2x + 4
y = -1/3x - 3
(-3, -2)
400
Solve the systems of equations:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
Solve for x and y:
1/2x + 6 = 9y - 12
x = 18y - 36
y= 1/18x + 2
400
Is the given point a solution to the system of equations?
Point: (1/2, -2)
6x + 5y = -7
2x - 4y = -8
No
500
Solve the systems of linear equations by graphing:
3x - 4y= -8
x = 2y - 6
(4,5)
500
Solve the systems of equations:
-5x - 5y = 10
y = -4x -17
(-5, 3)
500
Solve for t and q:
-1/4q + 3t + 2 = 11
t= 1/12q +3
q= 12t -36
500
Solve the following System of Equations
-6y + 2 = -4x
y - 2 = x
First step, substitute the x into the top equation.
(-5,-3)