Math / Algebra

QuestionWhich of the equations is NOT equivalent to $6 x=20$ ? Select all that apply. (A) $6 x \div 6=20 \div 6$ (D) $6 x-1=20-1$ (B) $6 x \div 6=20 \div 20$ (E) $6 x \times 6=20 \times 20$ (C) $6 x+5=20+5$

Studdy Solution

STEP 1

1. We are given the equation $6x = 20$ .
2. We need to determine which of the provided equations are not equivalent to the given equation.

STEP 2

1. Understand the meaning of equivalent equations.
2. Analyze each option to determine if it is equivalent to $6x = 20$ .
3. Identify which equations are not equivalent.

STEP 3

Equivalent equations have the same solution set. Therefore, any manipulation of $6x = 20$ should maintain the equality.

STEP 4

Analyze option (A): $6x \div 6 = 20 \div 6$ .
Dividing both sides of $6x = 20$ by 6 results in $x = \frac{20}{6}$ , which is equivalent.

STEP 5

Analyze option (B): $6x \div 6 = 20 \div 20$ .
Dividing both sides of $6x = 20$ by different numbers results in $x = 1$ , which is not equivalent.

STEP 6

Analyze option (C): $6x + 5 = 20 + 5$ .
Adding 5 to both sides results in $6x + 5 = 25$ , which is equivalent.

STEP 7

Analyze option (D): $6x - 1 = 20 - 1$ .
Subtracting 1 from both sides results in $6x - 1 = 19$ , which is equivalent.

STEP 8

Analyze option (E): $6x \times 6 = 20 \times 20$ .
Multiplying both sides by different numbers results in $36x = 400$ , which is not equivalent.

STEP 9

The equations that are not equivalent to $6x = 20$ are options (B) and (E).
The non-equivalent equations are:
$\boxed{B, E}$

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QuestionWhich of the equations is NOT equivalent to $6 x=20$ ? Select all that apply. (A) $6 x \div 6=20 \div 6$ (D) $6 x-1=20-1$ (B) $6 x \div 6=20 \div 20$ (E) $6 x \times 6=20 \times 20$ (C) $6 x+5=20+5$

Studdy Solution

STEP 1

1. We are given the equation $6x = 20$ .
2. We need to determine which of the provided equations are not equivalent to the given equation.

STEP 2

1. Understand the meaning of equivalent equations.
2. Analyze each option to determine if it is equivalent to $6x = 20$ .
3. Identify which equations are not equivalent.

STEP 3

Equivalent equations have the same solution set. Therefore, any manipulation of $6x = 20$ should maintain the equality.

STEP 4

Analyze option (A): $6x \div 6 = 20 \div 6$ .
Dividing both sides of $6x = 20$ by 6 results in $x = \frac{20}{6}$ , which is equivalent.

STEP 5

Analyze option (B): $6x \div 6 = 20 \div 20$ .
Dividing both sides of $6x = 20$ by different numbers results in $x = 1$ , which is not equivalent.

STEP 6

Analyze option (C): $6x + 5 = 20 + 5$ .
Adding 5 to both sides results in $6x + 5 = 25$ , which is equivalent.

STEP 7

Analyze option (D): $6x - 1 = 20 - 1$ .
Subtracting 1 from both sides results in $6x - 1 = 19$ , which is equivalent.

STEP 8

Analyze option (E): $6x \times 6 = 20 \times 20$ .
Multiplying both sides by different numbers results in $36x = 400$ , which is not equivalent.

STEP 9

The equations that are not equivalent to $6x = 20$ are options (B) and (E).
The non-equivalent equations are:
$\boxed{B, E}$

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Studdy Solution

STEP 1

1. We are given the equation 6x=206x = 206x=20.2. We need to determine which of the provided equations are not equivalent to the given equation.

STEP 2

1. Understand the meaning of equivalent equations.2. Analyze each option to determine if it is equivalent to 6x=206x = 206x=20.3. Identify which equations are not equivalent.

STEP 3

Equivalent equations have the same solution set. Therefore, any manipulation of 6x=206x = 206x=20 should maintain the equality.

STEP 4

Analyze option (A): 6x÷6=20÷66x \div 6 = 20 \div 66x÷6=20÷6.Dividing both sides of 6x=206x = 206x=20 by 6 results in x=206x = \frac{20}{6}x=620​, which is equivalent.

STEP 5

Analyze option (B): 6x÷6=20÷206x \div 6 = 20 \div 206x÷6=20÷20.Dividing both sides of 6x=206x = 206x=20 by different numbers results in x=1x = 1x=1, which is not equivalent.

STEP 6

Analyze option (C): 6x+5=20+56x + 5 = 20 + 56x+5=20+5.Adding 5 to both sides results in 6x+5=256x + 5 = 256x+5=25, which is equivalent.

STEP 7

Analyze option (D): 6x−1=20−16x - 1 = 20 - 16x−1=20−1.Subtracting 1 from both sides results in 6x−1=196x - 1 = 196x−1=19, which is equivalent.

STEP 8

Analyze option (E): 6x×6=20×206x \times 6 = 20 \times 206x×6=20×20.Multiplying both sides by different numbers results in 36x=40036x = 40036x=400, which is not equivalent.

STEP 9

The equations that are not equivalent to 6x=206x = 206x=20 are options (B) and (E). The non-equivalent equations are:B,E \boxed{B, E} B,E​

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1. We are given the equation $6x = 20$ .
2. We need to determine which of the provided equations are not equivalent to the given equation.

1. Understand the meaning of equivalent equations.
2. Analyze each option to determine if it is equivalent to $6x = 20$ .
3. Identify which equations are not equivalent.

Equivalent equations have the same solution set. Therefore, any manipulation of $6x = 20$ should maintain the equality.

Analyze option (A): $6x \div 6 = 20 \div 6$ .
Dividing both sides of $6x = 20$ by 6 results in $x = \frac{20}{6}$ , which is equivalent.

Analyze option (B): $6x \div 6 = 20 \div 20$ .
Dividing both sides of $6x = 20$ by different numbers results in $x = 1$ , which is not equivalent.

Analyze option (C): $6x + 5 = 20 + 5$ .
Adding 5 to both sides results in $6x + 5 = 25$ , which is equivalent.

Analyze option (D): $6x - 1 = 20 - 1$ .
Subtracting 1 from both sides results in $6x - 1 = 19$ , which is equivalent.

Analyze option (E): $6x \times 6 = 20 \times 20$ .
Multiplying both sides by different numbers results in $36x = 400$ , which is not equivalent.

The equations that are not equivalent to $6x = 20$ are options (B) and (E).
The non-equivalent equations are:
$\boxed{B, E}$