Question
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Answer
解方程 \(8x + 6 = 54\)，得到 \(x = 6\)。
解方程 \(9x - 5 = 50\)，得到 \(x = \frac{55}{9}\) 或 \(x ≈ 6.1\)。
Solution
Solve the equation \( 8x+6=54 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(8x+6=54\)
- step1: Move the constant to the right side:
\(8x=54-6\)
- step2: Subtract the numbers:
\(8x=48\)
- step3: Divide both sides:
\(\frac{8x}{8}=\frac{48}{8}\)
- step4: Divide the numbers:
\(x=6\)
Solve the equation \( 9x-5=50 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(9x-5=50\)
- step1: Move the constant to the right side:
\(9x=50+5\)
- step2: Add the numbers:
\(9x=55\)
- step3: Divide both sides:
\(\frac{9x}{9}=\frac{55}{9}\)
- step4: Divide the numbers:
\(x=\frac{55}{9}\)
For equation \(8x+6=54\), the solution is \(x=6\).
For equation \(9x-5=50\), the solution is \(x=\frac{55}{9}\) or \(x=6.1\).
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Simplify this solution Beyond the Answer
To solve the equation \( 8x + 6 = 54 \), first subtract 6 from both sides to get \( 8x = 48 \). Then, divide both sides by 8 to find \( x = 6 \). Now, for the equation \( 9x - 5 = 50 \), begin by adding 5 to both sides, yielding \( 9x = 55 \). Finally, divide both sides by 9 to discover \( x \approx 6.11 \) (or as a fraction, \( \frac{55}{9} \)). Happy solving!
