All about Systems of Equations
Solving Systems of Linear Equations: Substitution
Solving
Solving 2.0
Random Unit 4
100
What kind of solution would you have when you get
x = 0?
One, None, or Infinite?
One
100
Solve the system:
y = 4
x + 10y = 72
(32, 4)
100
Solve the system:
2x+y=9
2x+y=9
Infinite Solutions
100
What does the word substitute mean?
Replace
100
What option is NOT equivalent to:
3 (x+10) = 30
A. 3x + 13 = 30
B. 3x + 30 = 30
C. x + x + x + 10 = 30
A.
200
What is the solution to this graphed system of equations?
(2,2)
200
What're the steps to solving an equation? (Write out the steps)
DCMAM
Distribute
Combine Like Terms
Move the Variable
Add or Subtract
Multiply or Divide
200
Solve the system:
y=2x+4
y=2x+5
No solution because the variables cancel out
200
How many solutions does this system have (show your work):
y = 2x + 4
y = 2x - 4
None, the variables cancel out.
200
Write an equation representing this hanger, circles are 2 grams use x for squares:
7x = 4 + 2x
300
What does it mean to "find the solution" to a system of linear equations?
It means to find the point (x, y) where the 2 lines intersect.
300
Solve the system:
y=2x
3x+y=20
3x+(2x)=20 or
5x=20
x=4
y=8
(4,8)
300
Solve the system:
y = 5x + 10
y = 6x - 20
(30, 160)
300
The solution of the following system of equations:
y=−3y=-3
y=6x+3
(-1,-3)
300
Is 3x + 2 = 10 equivalent to 6x + 4 = 20?
Yes, you can multiply the first equation by 2 to get the second equation. If you solve for x, you get the same solution.
400
At least how many linear equations will be in a system of linear equations?
At least 2 linear equations
400
How would you isolate x in this equation?
6+x=20
Subtract 6y from both sides to get:
x=20-6
400
Solve the system:
9x+3y=y
9x+3y=y
Infinite Solutions, it is the same equation.
400
How would you isolate x here:
3x = 99
Divide both sides by 3
400
Solve for x:
x = 3
500
How do we write solutions to systems of linear equations?
(x, y)
500
Use the substitution method to solve the system of linear equations:
x=3y
x+y=20
(3y) + y = 20
4y=20
y=5
x=15
(15,5)
500
Solve the system:
6(x+3) = y
6x + 18 = y
Infinite solutions, after distributing they are the same equations.
500
Solve for x:
1/2 ( 10x - 12) = 4x + 9 + 6
x = 21
500
Sarah saw the equation
4x + 6 (3 + 4) = 12
She subtracted 6 from each side first.
What did she do wrong?
What should x equal?
She didn't distribute the 6 first.
x = -4.5