What value of xx makes the equation below true?

6, x, minus, 7, equals, 5
6x−7=
5
Answer
Multiple Choice Answers
22
77
99
1414

11 answers

To solve the equation \( 6x - 7 = 5 \), we can follow these steps:

  1. Add 7 to both sides: \[ 6x - 7 + 7 = 5 + 7 \] \[ 6x = 12 \]

  2. Divide both sides by 6: \[ x = \frac{12}{6} \] \[ x = 2 \]

It appears that 2 is not among the multiple-choice answers provided (22, 77, 99, 1414). Thus, there might be an error in the options or in the interpretation of the question.

If we take the original values of 6, x, and -7 to make it equal to multiple option formats, we can also clarify:

If \( 6x - 7 = 5 \), then:

  • \( 6x - 5 = 7 \)
  • \( 6x = 12 \)
  • So \( x = 2 \)

If the intention was to find what value of \( 6x - 7 \) equals 5 instead, we have already solved for \( x \).

Thus, to explicitly answer your question, the correct x value that satisfies the equation \( 6x - 7 = 5 \) is \( x = 2 \), not present in the options.

If you need further help, please clarify the question or correct the options provided!

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Which equation has the solution x, equals, 6x=6?
Answer
Multiple Choice Answers
2, x, plus, 3, equals, 152x+3=15
8, x, plus, 8, equals, 968x+8=96
4, x, minus, 8, equals, 304x−8=30
9, x, minus, 6, equals, minus, 489x−6=−48

To find which equation has the solution \( x = 6 \), we can substitute \( x = 6 \) into each of the provided equations and see if both sides are equal.

  1. First equation: \( 2x + 3 = 15 \) \[ 2(6) + 3 = 15 \implies 12 + 3 = 15 \implies 15 = 15 \quad \text{(True)} \]

  2. Second equation: \( 8x + 8 = 96 \) \[ 8(6) + 8 = 96 \implies 48 + 8 = 96 \implies 56 = 96 \quad \text{(False)} \]

  3. Third equation: \( 4x - 8 = 30 \) \[ 4(6) - 8 = 30 \implies 24 - 8 = 30 \implies 16 = 30 \quad \text{(False)} \]

  4. Fourth equation: \( 9x - 6 = -48 \) \[ 9(6) - 6 = -48 \implies 54 - 6 = -48 \implies 48 = -48 \quad \text{(False)} \]

The only equation that holds true when \( x = 6 \) is:

Answer: \( 2x + 3 = 15 \)

What value of xx makes the equation below true?
4, x, plus, 1, equals, 29
4x+1=
29
Answer
Multiple Choice Answers
77
88
1111
2929

To solve the equation \( 4x + 1 = 29 \), we can follow these steps:

  1. Subtract 1 from both sides: \[ 4x + 1 - 1 = 29 - 1 \] \[ 4x = 28 \]

  2. Divide both sides by 4: \[ x = \frac{28}{4} \] \[ x = 7 \]

Now, among the multiple-choice answers provided (77, 88, 1111, 2929), none corresponds to \( x = 7 \).

If there is an error regarding the options or in the interpretation of the question, please clarify. Based on the original equation, the correct answer is \( x = 7 \).

Which inequality is true when the value of dd is minus, 11−11?
Answer
Multiple Choice Answers
minus, d, minus, 1, is less than, minus, 6−d−1<−6
d, minus, 1, is greater than, minus, 6d−1>−6
minus, d, minus, 1, is less than, 6−d−1<6
minus, d, minus, 1, is greater than, 6−d−1>6

To find which inequality is true when the value of \( d \) is \(-11\), we will substitute \(-11\) into each of the provided inequalities and check if they hold true.

  1. First inequality: \( -d - 1 < -6 \) \[ -(-11) - 1 < -6 \implies 11 - 1 < -6 \implies 10 < -6 \quad \text{(False)} \]

  2. Second inequality: \( d - 1 > -6 \) \[ -11 - 1 > -6 \implies -12 > -6 \quad \text{(False)} \]

  3. Third inequality: \( -d - 1 < 6 \) \[ -(-11) - 1 < 6 \implies 11 - 1 < 6 \implies 10 < 6 \quad \text{(False)} \]

  4. Fourth inequality: \( -d - 1 > 6 \) \[ -(-11) - 1 > 6 \implies 11 - 1 > 6 \implies 10 > 6 \quad \text{(True)} \]

From our analysis, the only true inequality when \( d = -11 \) is:

Answer: \( -d - 1 > 6 \)

Which inequality is true when the value of pp is 99?
Answer
Multiple Choice Answers
p, minus, 3, is greater than, 3p−3>3
minus, p, minus, 3, is greater than, minus, 3−p−3>−3
p, minus, 3, is less than, 3p−3<3
minus, p, minus, 3, is greater than, 3−p−3>3

To determine which inequality is true when the value of \( p \) is 9, we will substitute \( p = 9 \) into each of the provided inequalities and see if they hold true.

  1. First inequality: \( p - 3 > 3p \) \[ 9 - 3 > 3(9) \implies 6 > 27 \quad \text{(False)} \]

  2. Second inequality: \( -p - 3 > -3 \) \[ -9 - 3 > -3 \implies -12 > -3 \quad \text{(False)} \]

  3. Third inequality: \( p - 3 < 3p \) \[ 9 - 3 < 3(9) \implies 6 < 27 \quad \text{(True)} \]

  4. Fourth inequality: \( -p - 3 > 3 \) \[ -9 - 3 > 3 \implies -12 > 3 \quad \text{(False)} \]

From the analysis, the only true inequality when \( p = 9 \) is:

Answer: \( p - 3 < 3p \)

Which inequality is true when the value of vv is 99?
Answer
Multiple Choice Answers
minus, v, minus, 8, ≤, 1−v−8≤1
minus, v, minus, 8, ≥, minus, 1−v−8≥−1
minus, v, minus, 8, ≥, 1−v−8≥1
v, minus, 8, ≤, minus, 1v−8≤−1

To find which inequality is true when the value of \( v = 9 \), we will substitute \( v = 9 \) into each of the provided inequalities.

  1. First inequality: \( -v - 8 \leq 1 \) \[ -9 - 8 \leq 1 \implies -17 \leq 1 \quad \text{(True)} \]

  2. Second inequality: \( -v - 8 \geq -1 \) \[ -9 - 8 \geq -1 \implies -17 \geq -1 \quad \text{(False)} \]

  3. Third inequality: \( -v - 8 \geq 1 \) \[ -9 - 8 \geq 1 \implies -17 \geq 1 \quad \text{(False)} \]

  4. Fourth inequality: \( v - 8 \leq -1 \) \[ 9 - 8 \leq -1 \implies 1 \leq -1 \quad \text{(False)} \]

From the analysis, the only true inequality when \( v = 9 \) is:

Answer: \( -v - 8 \leq 1 \)