Solve for x . −10−2x=−8 (1 point)

Responses
1. x=−1
2. x=9
3. x=1
4. x=4
which answer is it??

11 answers

To solve the equation \(-10 - 2x = -8\), we can follow these steps:

  1. First, add 10 to both sides of the equation: \[ -2x = -8 + 10 \] \[ -2x = 2 \]

  2. Next, divide both sides by -2: \[ x = \frac{2}{-2} \] \[ x = -1 \]

So the solution for \(x\) is \(-1\). Therefore, the answer is:

1. x = −1

can you double check to see if its right??

Sure! Let's double-check the solution step by step.

The original equation is: \[ -10 - 2x = -8 \]

  1. Add 10 to both sides: \[ -2x = -8 + 10 \] This simplifies to: \[ -2x = 2 \]

  2. Now, divide by -2: \[ x = \frac{2}{-2} \] Which simplifies to: \[ x = -1 \]

Now, let's plug \(x = -1\) back into the original equation to verify:

Left side: \[ -10 - 2(-1) = -10 + 2 = -8 \]

Right side: \[ -8 \]

Since both sides are equal, the solution \(x = -1\) is indeed correct.

So the answer is confirmed as: 1. x = −1.

Solve for x. 5=2x−11 (1 point)
Responses
1. x=8
2. 8 x=−3
3. x=−8
4. x=3
Which answer is it??

To solve the equation \(5 = 2x - 11\), we can follow these steps:

  1. Add 11 to both sides: \[ 5 + 11 = 2x \] \[ 16 = 2x \]

  2. Next, divide both sides by 2: \[ x = \frac{16}{2} \] \[ x = 8 \]

So the solution for \(x\) is \(8\). Therefore, the answer is:

1. x = 8.

can you double check??

Sure! Let’s double-check the solution for the equation \(5 = 2x - 11\).

  1. Start with the original equation: \[ 5 = 2x - 11 \]

  2. Add 11 to both sides: \[ 5 + 11 = 2x \] This simplifies to: \[ 16 = 2x \]

  3. Now, divide both sides by 2: \[ x = \frac{16}{2} \] This simplifies to: \[ x = 8 \]

Now let's substitute \(x = 8\) back into the original equation to verify:

Plugging \(x = 8\) into the right side: \[ 2(8) - 11 = 16 - 11 = 5 \]

The left side \(5\) equals the right side \(5\), so the solution is confirmed to be correct.

Thus, the answer is: 1. x = 8.

Solve for x. 11/4x+9=31 (1 point)
Responses
1. x=22
2. x=8 x
3. x=110
4. x=−8
Which answer is it??

To solve the equation \(\frac{11}{4}x + 9 = 31\), follow these steps:

  1. Subtract 9 from both sides: \[ \frac{11}{4}x = 31 - 9 \] \[ \frac{11}{4}x = 22 \]

  2. Multiply both sides by the reciprocal of \(\frac{11}{4}\) (which is \(\frac{4}{11}\)): \[ x = 22 \cdot \frac{4}{11} \]

  3. Calculate the right side: \[ x = \frac{22 \times 4}{11} = \frac{88}{11} = 8 \]

So the solution for \(x\) is \(8\). Therefore, the answer is:

2. x = 8.

can you double check??

Absolutely! Let's double-check the solution for the equation \(\frac{11}{4}x + 9 = 31\).

  1. Start with the original equation: \[ \frac{11}{4}x + 9 = 31 \]

  2. Subtract 9 from both sides: \[ \frac{11}{4}x = 31 - 9 \] This simplifies to: \[ \frac{11}{4}x = 22 \]

  3. Now, multiply both sides by the reciprocal of \(\frac{11}{4}\), which is \(\frac{4}{11}\): \[ x = 22 \cdot \frac{4}{11} \]

  4. Calculate the right side: \[ x = \frac{22 \times 4}{11} = \frac{88}{11} = 8 \]

Finally, we verify the solution by plugging \(x = 8\) back into the original equation:

\[ \frac{11}{4}(8) + 9 = 31 \]

Calculating the left side: \[ \frac{11 \times 8}{4} + 9 = \frac{88}{4} + 9 = 22 + 9 = 31 \]

Since both sides equal 31, the solution \(x = 8\) is confirmed correct.

So the answer is indeed: 2. x = 8.

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