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Solve the equation. Check your solution 11-7a=-9a+8^(@) The solution set is {◻}. Simplify your ar

Solve the equation. Check your solution\newline11−7a=−9a+8∘ 11-7 a=-9 a+8^{\circ} \newlineThe solution set is {□} \{\square\} . Simplify your answer

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Sin, cos, and tan of special anglesright chevron icon

Full solution

Q. Solve the equation. Check your solution\newline11−7a=−9a+8∘ 11-7 a=-9 a+8^{\circ} \newlineThe solution set is {□} \{\square\} . Simplify your answer
  1. Combine Like Terms: Combine like terms on both sides of the equation.\newlineWe want to get all the terms with aa on one side and the constant terms on the other side. To do this, we can add 7a7a to both sides to move the 'a' terms to one side and subtract 1111 from both sides to move the constants to the other side.\newline11−7a+7a=−9a+7a+8−1111 - 7a + 7a = -9a + 7a + 8 - 11\newlineThis simplifies to:\newline0=−2a−30 = -2a - 3
  2. Solve for 'a': Solve for 'a'.\newlineNow we have −2a−3=0-2a - 3 = 0. To solve for 'a', we need to isolate 'a' on one side. We can add 33 to both sides of the equation to move the constant term to the other side.\newline−2a−3+3=0+3-2a - 3 + 3 = 0 + 3\newlineThis simplifies to:\newline−2a=3-2a = 3
  3. Divide by −2-2: Divide both sides by −2-2 to find the value of 'a'.\newlineTo isolate 'a', we divide both sides of the equation by −2-2.\newline−2a/−2=3/−2-2a / -2 = 3 / -2\newlineThis simplifies to:\newlinea=−32a = -\frac{3}{2}

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