Q. Solve for b. Express your answer as a proper or improper fraction in simplest terms.−21b+65=−81Answer: b=
Isolate term containing b: First, we need to isolate the term containing b on one side of the equation. To do this, we can start by subtracting 65 from both sides of the equation to get rid of the constant term on the left side.−21b+65−65=−81−65
Simplify both sides: Now, we simplify both sides of the equation by combining like terms.−21b=−81−65To subtract the fractions on the right side, we need a common denominator, which is 24.−21b=−243−2420
Combine fractions: Combine the fractions on the right side by subtracting their numerators. −21b=−243−20−21b=−2423
Solve for b: Now, we need to solve for b by dividing both sides of the equation by −21. To do this, we multiply both sides by the reciprocal of −21, which is −2.b = \left(-\frac{\(23\)}{\(24\)}\right) \times \left(\(-2\right)
Multiply numerators and denominators: Multiply the numerators and denominators. b=24×123×2b=2446
Simplify the fraction: Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. b=246/224b=1223
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