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Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.\newlineLast Wednesday, two friends met up after school to read the book they were both assigned in Literature class. Bryan can read 22 pages per minute, and he had already read 9898 pages. Jayla, who has a reading speed of 33 pages per minute, had read 4848 pages. Eventually they had read the same number of pages. How long did that take? How many pages had each of them read?\newlineAfter ____\_\_\_\_ minutes, Bryan and Jayla had each read ____\_\_\_\_ pages.

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Q. Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.\newlineLast Wednesday, two friends met up after school to read the book they were both assigned in Literature class. Bryan can read 22 pages per minute, and he had already read 9898 pages. Jayla, who has a reading speed of 33 pages per minute, had read 4848 pages. Eventually they had read the same number of pages. How long did that take? How many pages had each of them read?\newlineAfter ____\_\_\_\_ minutes, Bryan and Jayla had each read ____\_\_\_\_ pages.
  1. Bryan's Reading Rate: Bryan's reading rate is 22 pages per minute, and he starts with 9898 pages.\newlineEquation for Bryan: y=2x+98y = 2x + 98.
  2. Jayla's Reading Rate: Jayla's reading rate is 33 pages per minute, and she starts with 4848 pages.\newlineEquation for Jayla: y=3x+48y = 3x + 48.
  3. Equation Set-Up: Set the equations equal to each other to find when they have read the same number of pages. 2x+98=3x+482x + 98 = 3x + 48.
  4. Solve for x: Solve for x by subtracting 2x2x from both sides.\newline98=x+4898 = x + 48.

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