Given:
[tex]9(x-6)+41=75[/tex]
Explanation:
Solve the equation to obtain the value of x.
[tex]9(x-6)+41=75\text{ (Given)}[/tex]
Substract 41 from both sides of equation.
[tex]9(x-6)+41-41=75-41\text{ (Substract 41 from both sides)}[/tex]
Apply distributive property .
[tex]9\cdot x-9\cdot6=34\text{ (Distributive property)}[/tex]
Add 54 to both sides of equation.
[tex]9x-54+54=34+54\text{ (Add 54 to both sides of equation)}[/tex]
Divide both sides of equation by 9.
[tex]\begin{gathered} \frac{9x}{9}=\frac{88}{9} \\ x=\frac{88}{9}\text{ (Divide both sides by 9)} \end{gathered}[/tex]
Answers:
R1: Given
R2: Subtract 41 from both sides of equation (Subtractiove property of equality)
S3: 9*x -9*6 = 34
R4: Add 54 to both sides of equation (Additive property of equality)
R5: Divide both sides of equation by 9 (Division property of equality)
