Question

NEED HELP DUE BY WEDNESDAY OR TOMMOROW. Solve each of the equations and select the numbers that represent solutions to more than one of the six equations. Select all that apply. 4x-3=17. 8(x + 1) = 24. 5(x - 2) = 20. 34 - 7x = 20. 31 - x = 29. 3x +6=21. A. x=1. B. x=2. C. x=3. D. x=4.E. x=5. F. X = 6.

Answer 1

We are to solve for x in all the equations and select the ones that occur more than one solution.

Hence,

`\begin{gathered} 4x-3=17 \\ 4x=17+3 \\ 4x=20 \\ x=(20)/(4)=5 \\ \therefore x=5 \end{gathered}`

Next,

`\begin{gathered} 5(x-2)=20 \\ x-2=(20)/(5) \\ x-2=4 \\ x=4+2=6 \\ \therefore x=6 \end{gathered}`

Next,

`\begin{gathered} 31-x=29 \\ 31-29=x \\ 2=x \\ \therefore x=2 \end{gathered}`

Next,

`\begin{gathered} 8(x+1)=24 \\ x+1=(24)/(8) \\ x+1=3 \\ x=3-1=2 \\ \therefore x=2 \end{gathered}`

Next,

`\begin{gathered} 34-7x=20 \\ 34-20=7x \\ 14=7x \\ (14)/(7)=(7x)/(7) \\ 2=x \\ \Rightarrow x=2 \end{gathered}`

Lastly,

`\begin{gathered} 3x+6=21 \\ 3x=21-6 \\ 3x=15 \\ x=(15)/(3)=5 \\ \therefore x=5 \end{gathered}`

Hence, the numbers that represent solutions to more than one of the six equations are

`\begin{gathered} x=2\text{ \lparen Option 2\rparen} \\ x=5\text{ \lparen Option 5\rparen} \end{gathered}`