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{:[10^(x+2y)=5],[10^(3x+4y)=50]:}

10x+2y=5103x+4y=50 \begin{array}{l}10^{x+2 y}=5 \\ 10^{3 x+4 y}=50\end{array}

Full solution

Q. 10x+2y=5103x+4y=50 \begin{array}{l}10^{x+2 y}=5 \\ 10^{3 x+4 y}=50\end{array}
  1. Calculate Total Tape Needed: Determine the total amount of electrical tape needed and the amount of tape on each roll.\newlineThe electrician needs 8,0008,000 centimeters of electrical tape, and each roll contains 2,0002,000 centimeters of tape.
  2. Calculate Rolls Needed: Calculate the number of rolls needed by dividing the total amount of tape by the amount on each roll.\newlineNumber of rolls needed == Total amount of tape needed ÷\div Amount of tape in each roll\newlineNumber of rolls needed =8,000cm÷2,000cm/roll= 8,000 \, \text{cm} \div 2,000 \, \text{cm/roll}
  3. Perform Division: Perform the division to find the number of rolls.\newlineNumber of rolls needed = 8,000cm÷2,000cm/roll=4rolls8,000 \, \text{cm} \div 2,000 \, \text{cm}/\text{roll} = 4 \, \text{rolls}

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