Section 3.4 Solving Equations with Variables on Both Sides Mr. Beltz & Mr. Sparks.
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Transcript of Section 3.4 Solving Equations with Variables on Both Sides Mr. Beltz & Mr. Sparks.
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 = y
3
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]