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If UV = 5, VW = 4x − 1, and UW = 5x + 2, what is UW? Simplify your answer and write it as a proper fraction, mixed number, or integer. Could you type in step by step so I could understand it too?

If UV = 5, VW = 4x − 1, and UW = 5x + 2, what is UW? Simplify your answer and write it as a proper fraction, mixed number, or integer. Could you type in step by class=

Answer :

Estellia

Answer:

12

Step-by-step explanation:

UV + VW = UW

[tex]5+(4x-1)=5x+2[/tex]

Remove brackets:

[tex]5+4x-1=5x+2[/tex]

Solve [tex]5-1=4:[/tex]

[tex]4x+4=5x+2[/tex]

Subtract 4 from both sides:

[tex]4x+4-4=5x+2-4[/tex]

[tex]4x=5x-2[/tex]

Subtract 5x from both sides:

[tex]4x-5x=5x-2-5x[/tex]

[tex]-x=-2[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-2}{-1}[/tex]

[tex]x=2[/tex]

[tex]UW=5x+2=5(2)+2=10+2=12[/tex]

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