What is step 3 when solving equations?
Move the variable
Simplify the following:
3x + 5 + 4x - 2
7x + 3
Simplify the following:
-3(5 + 3x)
-15 - 9x
Combine like terms
3xy - 2 + 5x + 6 + 5xy
Simplify the following:
5(2x + 3) + 4x
14x + 15
x/6 = -2
x = -12
x + 7 = -5
x = -12
(2/3)x = -2
x = -3
3x = 18
x = 6
x - 4 = 10
x = 14
(x + 11) / 8 = -3
x = -35
2x + 5 = 25
x = 10
5x + 2 = 27
x = 5
What are the three types of solutions an equation can have?
One solution
No solution
Infinitely many solutions
5x - 6 = 9
x = 3
2x + 9 = 7x - 6
x = 3
8y + 32 = 7y + 38
y = 6
50x + 175 = 70x + 75
x = 50
4n + 21 = 5n + 1
n = 20
How do you get rid of multiple fractions in an equation?
Find the common denominator.
6n + 7 - 2n - 14 = 5n + 1
n = -8
2.7x + 9.6 = 3.7x + 3
x = 6.6
3(2x + 1) = 8x - 7
x = 5
-3x - 5 - x + 8 = -4x + 7
No Solution
6x + 18 = 2(3x + 6) + 6
Infinite solutions