Transcript Lesson 3.4 Solving Equations with Variables on Both Sides ppt

Section 3.4
Solving Equations with Variables on Both Sides
Mr. Beltz &
Mr. Sparks
Goal:
Solve equations that have variables
on both sides.
Basics
Get the Variables to one side (either side)
Combine Like Terms
Solve the Equation using Inverse Relationships
Remember: You always want to solve for the
Variable, “X = ?”
7x + 19 = -2x + 55
+2x
+2x
9x + 19 = 55
-19
-19
9x
= 36
9
9
x=4
Do the Inverse
Relationship to get
the Variables on
the LEFT SIDE
Simply the Equation
Do the Inverse of
Addition
[subtraction]
Do the Inverse of
Multiplication
[Division]
80 – 9y = 6y
+9y
+9y
80
= 15y
15
15
16
3
= y
Do the Inverse
Relationship to
get the
Variables on the
LEFT SIDE
Simply the
Equation
Do the Inverse
of Multiplication
[Division]
3x – 10 + 4x = 5x – 7
3x + –10 + 4x = 5x + –7
7x + -10 = 5x + -7
-5x
-5x
2x + -10 = -7
+10
+10
2x = 3
2
2
X= 3/2
Change – to + Opposite of
the next number
Combine Like Terms
Do the Inverse Relationship to
get the Variables on the LEFT
SIDE
Simply the Equation
Do the Inverse of Subtraction
[Addition]
Simply the Equation
Do the Inverse of
Multiplication [Division]
Independent Practice
P. 152
#1-4
Independent Practice Answers
#1. x = 2
#2. y = 3
#3. x = -2
#4. x = -4
HW Assignment
P. 154
# 3-8 [all] & 17-33 [ODD]
Friday’s HW
P. 154
# 1, 2, 10-34 [EVEN], 36, 50