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Solve the system of equations below using the substitution method.
{[x=2y+11],[-7x-2y=-13]:}
Show all work, make sure to write your final answer.

Solve the system of equations below using the substitution method.\newline{x=2y+117x2y=13 \left\{\begin{array}{l}x=2 y+11 \\ -7 x-2 y=-13\end{array}\right. \newlineShow all work, make sure to write your final answer.

Full solution

Q. Solve the system of equations below using the substitution method.\newline{x=2y+117x2y=13 \left\{\begin{array}{l}x=2 y+11 \\ -7 x-2 y=-13\end{array}\right. \newlineShow all work, make sure to write your final answer.
  1. Identify Total Amount: Identify the total amount of electrical tape needed and the amount of tape on each roll.\newlineTotal amount of electrical tape needed: 8,000cm8,000\,\text{cm}\newlineAmount of tape on each roll: 2,000cm2,000\,\text{cm}
  2. Determine Rolls Needed: Determine the number of rolls needed by dividing the total amount of tape needed by the amount of tape on each roll.\newlineNumber of rolls needed =Total amount of tape neededAmount of tape on each roll= \frac{\text{Total amount of tape needed}}{\text{Amount of tape on each roll}}\newlineNumber of rolls needed =8,000cm2,000cm= \frac{8,000 \, \text{cm}}{2,000 \, \text{cm}}
  3. Perform Division: Perform the division to find the number of rolls.\newlineNumber of rolls needed = 8,000cm÷2,000cm=48,000\,\text{cm} \div 2,000\,\text{cm} = 4

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