Answered

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

Sagot :

Step 1: Write out the equation

[tex]\frac{(3x+5)}{2}=7[/tex]

Given

Step 2: Multiply both sides of the equation by 2

[tex]\begin{gathered} \frac{(3x+5)}{2}\times\frac{2}{1}=7\times2 \\ \text{ thus} \\ 3x+5=14 \end{gathered}[/tex]

Multiplication Property of Equality

Step 3: Subtract 5 from both sides of the equation

[tex]\begin{gathered} 3x+5-5=14-5 \\ \text{ thus} \\ 3x=9 \end{gathered}[/tex]

Subtraction Property of Equality

Step 4: Divide both sides of the equation by 3

[tex]\begin{gathered} \frac{3x}{3}=\frac{9}{3} \\ \text{ thus} \\ x=3 \end{gathered}[/tex]

Division Property of Equality

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