Question

Which three equations are equivalent to |2x + 1| − 10 = -3? x = -4 or x = 3 2x + 1 = -7 or 2x + 1 = 7 |2x − 1| = 7 |2x + 1| = 7 2x − 1 = -7 or 2x − 1 = 7 x = 4 or x = -3

Answer 1

|2x + 1| = 7

|2x - 1| = 7

x = -4 or x = 3

Explanation:

|2x+1| = -3 + 10

⇒ |2x+1| = 7

Now we know the two equation:

2x+1 = 7 or 2x + 1= -7

Solving 2x + 1 =7

2x = 7 - 1

2x = 6

Divide both sides by 2

x = 6/2

x = 3

Solving 2x+1=-7

2x = -7 - 1

2x = -8

Divide both sides by 2

x = -8/2

x = -4

Therefore, x = -4 or x = 3.

We also know that:

2x+1 = 7 and 2x + 1= -7 are the two equation we use that means it equivalent to |2x + 1| − 10 = -3.

Hence, the three equations are equivalent to |2x + 1| − 10 = -3 is :

• 2x+1 = 7
• 2x + 1= -7
• x = -4 and x = 3

~lenvy~

Answer 2

x = -4 or x = 3

|2x + 1| = 7

|2x - 1| = 7

Explanation:

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Your question is mixed together.. Thus I think you meant:

Which three equations are equivalent to 2x + 1| − 10 = -3

2x - 1 = -7 or 2x - 1 =7

x = -4 or x = 3

x = 4 or x = -3

|2x + 1| = 7

2x + 1 = -7 or 2x + 1 =7

|2x - 1| = 7

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Solve:

|2x+1| = -3 + 10

|2x+1| = 7

Split into two equation:

2x+1 = 7 or 2x + 1= -7

Now, Solve first one:

2x = 7 - 1

2x = 6

x = 6/2

x = 3

Then, Solve second one:

2x = -7 - 1

2x = -8

x = -8/2

x = -4

Combining results:

x = -4 or x = 3

Hence, Also, |2x + 1| = 7 and |2x - 1| = 7 are correct .

~[RevyBreeze]~