Question
\( \begin{array}{ll}\text { 33. } 12=\frac{x}{7} & \text { 34. }-63=21 x \\ \text { 37. }-99=-11 a & \text { 38. } 4=\frac{b}{21}\end{array} \)
Ask by Smith Lawson. in the United States
Mar 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
**33. \(x = 84\)**
**34. \(x = -3\)**
**37. \(a = 9\)**
**38. \(b = 84\)**
Solution
**33. Solve \(12 = \frac{x}{7}\)**
Multiply both sides by 7 to isolate \(x\):
\[
12 \times 7 = \frac{x}{7} \times 7
\]
\[
84 = x
\]
Thus, \(x = 84\).
**34. Solve \(-63 = 21x\)**
Divide both sides by 21 to solve for \(x\):
\[
x = \frac{-63}{21}
\]
\[
x = -3
\]
**37. Solve \(-99 = -11a\)**
Divide both sides by \(-11\) to isolate \(a\):
\[
a = \frac{-99}{-11}
\]
\[
a = 9
\]
**38. Solve \(4 = \frac{b}{21}\)**
Multiply both sides by 21 to solve for \(b\):
\[
4 \times 21 = \frac{b}{21} \times 21
\]
\[
84 = b
\]
Thus, \(b = 84\).
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Simplify this solution Beyond the Answer
To solve equation 33, you can multiply both sides by 7 to isolate x: \(12 \times 7 = x\). This gives you \(x = 84\). For equation 34, divide both sides by 21 to find x: \(x = -3\). So, for both equations, you have \(x = 84\) and \(x = -3\), respectively! Moving on to equation 37, divide both sides by -11 to find a: \(a = 9\). Finally, for equation 38, multiply both sides by 21 to solve for b: \(b = 84\). The results are \(a = 9\) and \(b = 84\). Math can be a real adventure when you break it down step by step!
