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bazaltina [42]
3 years ago
11

Determine the value of x in the equation x+5x=5x+7

Mathematics
1 answer:
12345 [234]3 years ago
6 0

\text{Hey there!}

\mathsf{Determine\ the\ value\ of\ x\ in\ the\ equation\ x+5x=5x+7.}

\mathsf{SIMPLIFY\ both\ sides\ of\ your\ equation}

\mathsf{x+5x=5x+7}

\mathsf{COMBINE\ your\ like\ terms}

\mathsf{(x+5x)=(5x+7)}

\mathsf{The\ RIGHT\ side\ DOES\  NOT\ have\ any\ like\ terms\ so\ we\ can}\\\mathsf{can\ leave\ alone}

\mathsf{x+5x= 6x}

\mathsf{Your\ new\ equation: 6x=5x+7}

\mathsf{SUBTRACT\ by\ 5x\ on\ your\ sides}

\mathsf{6x-5x}\\\mathsf{=}\\\mathsf{7-5x}

\mathsf{SOLVE\ your\ equation\ above\uparrow}

\mathsf{If\ you\ SOLVED\ correctly\ you\ SHOULD\ have\ the\ VALUE\ of\ x}

\boxed{\boxed{\mathsf{Thus\ your\ answer\ is\ x=7}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\dfrac{\frak{LoveYourselfFirst}}{:)}

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7 0
3 years ago
Part A: Sydney made $18.50 selling lemonade, by the cup, at her yard sale. She sold each cup for $0.50 and received a $3 tip fro
prisoha [69]

Answer:

Part A: x0.50 + 3 = 18.50

Part B: x0.75 + 3 - x0.10 = 21

Part C: The equations from Part A and Part B differ because of the cost of plastic cup.

Step-by-step explanation:

Let x represent the number of cup of lemonade sold. Therefore, we have:

Part A:

This situation can be represented by the following equation:

x0.50 + 3 = 18.50

Part B:

This situation can be represented by the following equation:

x0.75 + 3 - x0.10 = 21

Part C:

The equations from Part A and Part B differ because of the cost of plastic cup.

For equation from Part A, revenue is the same as profit as Sydney does incur any cost to buy plastic cup before selling her lemonade.

For equation from Part B, revenue is different from profit because Daria has to incur the cost of plastic cup which $0.10 per cup of lemonade before selling her lemonade.

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