Question

Complete the proof:Given: (3x + 5)/2 - 7Prove: x = 33x + 5 - 14[Choose)3x = 9[ Choose)X-3[Choose)(3x+5)/2-7Given

Answer 1

Step 1: Write out the equation

`((3x+5))/(2)=7`

Given

Step 2: Multiply both sides of the equation by 2

`\begin{gathered} ((3x+5))/(2)*(2)/(1)=7*2 \\ \text{ thus} \\ 3x+5=14 \end{gathered}`

Multiplication Property of Equality

Step 3: Subtract 5 from both sides of the equation

`\begin{gathered} 3x+5-5=14-5 \\ \text{ thus} \\ 3x=9 \end{gathered}`

Subtraction Property of Equality

Step 4: Divide both sides of the equation by 3

`\begin{gathered} (3x)/(3)=(9)/(3) \\ \text{ thus} \\ x=3 \end{gathered}`

Division Property of Equality