Let's go through each of your questions one by one:
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Which of the following should be done to both sides of the equation −6x = 48 to solve the value of x?
- The correct operation to isolate \(x\) is to divide by −6.
- Answer: divide by −6.
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Which of the following should be done to both sides of the equation x/12 = 6 to solve the value of x?
- To isolate \(x\), you should multiply by 12 on both sides.
- Answer: multiply by 12.
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What is the solution of the equation 5/2x = −1/8?
- To solve for \(x\): \[ 5/2x = -1/8 \] Multiply both sides by \(2/5\) to isolate \(x\): \[ x = -1/8 \cdot 2/5 = -2/40 = -1/20 \]
- Answer: \(x = -\frac{1}{20}\).
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What is the solution of the equation −x/2.9 = −3?
- To solve for \(x\): \[ -\frac{x}{2.9} = -3 \] Multiply both sides by \(-1\): \[ \frac{x}{2.9} = 3 \] Then multiply both sides by \(2.9\): \[ x = 3 \cdot 2.9 = 8.7 \]
- Answer: \(x = 8.7\).
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What is the solution of the equation 8/5x = −10?
- To solve for \(x\): \[ \frac{8}{5}x = -10 \] Multiply both sides by \(\frac{5}{8}\) to isolate \(x\): \[ x = -10 \cdot \frac{5}{8} = -\frac{50}{8} = -\frac{25}{4} = -6.25 \]
- Answer: \(x = -6.25\) or \(x = -\frac{25}{4}\).
In summary:
- Divide by −6.
- Multiply by 12.
- \(x = -\frac{1}{20}\).
- \(x = 8.7\).
- \(x = -6.25\) (or \(x = -\frac{25}{4}\)).
1 answer