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Evaluate 5c-3d+11 when c=7 and d=8.

Evaluate 5c−3d+115c-3d+11 when c=7c=7 and d=8d=8.

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Full solution

Q. Evaluate 5c−3d+115c-3d+11 when c=7c=7 and d=8d=8.
  1. Substitute values into expression: Substitute the given values for cc and dd into the expression.\newlineExpression: 5c−3d+115c - 3d + 11\newlineSubstitute c=7c = 7 and d=8d = 8.\newlineExpression becomes: 5(7)−3(8)+115(7) - 3(8) + 11
  2. Calculate 5c5c: Multiply 55 by 77 to find the value of 5c5c.
    5×7=355 \times 7 = 35
    So, 5c=355c = 35
  3. Calculate 3d3d: Multiply 33 by 88 to find the value of 3d3d.\newline3×8=243 \times 8 = 24\newlineSo, 3d=243d = 24
  4. Evaluate expression: Subtract the value of 3d3d from 5c5c and then add 1111.\newlineCalculation: 35−24+1135 - 24 + 11
  5. Subtract 2424 from 3535: First, subtract 2424 from 3535. 35−24=1135 - 24 = 11
  6. Add 1111 to previous result: Now, add 1111 to the result from the previous step.\newline11+11=2211 + 11 = 22

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