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Solve for a. 10=-18-(7)/(11)a Answer: a=

Solve for a a .\newline10=−18−711a 10=-18-\frac{7}{11} a \newlineAnswer: a= a=

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Full solution

Q. Solve for a a .\newline10=−18−711a 10=-18-\frac{7}{11} a \newlineAnswer: a= a=
  1. Identify Operation: Identify the operation which should be used to isolate aa. Since (711)a(\frac{7}{11})a is subtracted from −18-18, addition should be used to isolate (711)a(\frac{7}{11})a.
  2. Add to Isolate: Add (7/11)a(7/11)a to both sides of the equation to isolate the term containing aa.10=−18−(7/11)a10 = -18 - (7/11)a10+(7/11)a=−18−(7/11)a+(7/11)a10 + (7/11)a = -18 - (7/11)a + (7/11)a10+(7/11)a=−1810 + (7/11)a = -18
  3. Add to Move Constant: Add 1818 to both sides of the equation to move the constant term to the other side.\newline10+(711)a+18=−18+1810 + \left(\frac{7}{11}\right)a + 18 = -18 + 18\newline10+(711)a+18=010 + \left(\frac{7}{11}\right)a + 18 = 0\newline28+(711)a=028 + \left(\frac{7}{11}\right)a = 0
  4. Subtract to Isolate: Subtract 2828 from both sides to isolate the term containing aa.\newline28+(711)a−28=0−2828 + \left(\frac{7}{11}\right)a - 28 = 0 - 28\newline(711)a=−28(\frac{7}{11})a = -28
  5. Multiply by Reciprocal: Multiply both sides by the reciprocal of (711)(\frac{7}{11}) to solve for aa.(117)×(711)a=−28×(117)(\frac{11}{7}) \times (\frac{7}{11})a = -28 \times (\frac{11}{7})a=−28×(117)a = -28 \times (\frac{11}{7})
  6. Perform Multiplication: Perform the multiplication to find the value of aa.a=−28×(117)a = -28 \times \left(\frac{11}{7}\right)a=−4×11a = -4 \times 11a=−44a = -44

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