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VLD [36.1K]
3 years ago
9

Solve |2x - 1| + 3 = 6.

Mathematics
2 answers:
umka21 [38]3 years ago
5 0

Answer:

x =2                         x = -1

Step-by-step explanation:

|2x - 1| + 3 = 6.

Subtract 3 from each side

|2x - 1| + 3-3 = 6-3

|2x - 1|= 3

An absolute value has two solutions, one positive and one negative

2x-1 =3                   2x -1 = -3

Add 1 to all sides

2x-1+1 =3+1             2x-1+1 = -3+1

2x = 4                      2x =-2

Divide by 2

2x/2 = 4/2                 2x/2 = -2/2

x =2                         x = -1

Tpy6a [65]3 years ago
3 0

Steps to solve:

|2x - 1| + 3 = 6

~Subtract 3 to both sides

|2x - 1| = 3

~Since we are working with an absolute value, one answer will be positive and one will be negative.

2x - 1 = 3

~Add 1 to both sides

2x = 4

~Divide 2 to both sides

x = 2

2x - 1 = -3

~Add 1 to both sides

2x = -2

~Divide 2 to both sides

x = -1

Best of Luck!

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Step-by-step explanation:

Ok so we know the 2 angles are congruent so you need to set them equal to each other. x^2+5x=7x+24. Then get the x's together so you subtract by 7x to get x^2-2x=24. You would then get 24 on the other side so subtract by 24 to get x^2-2x-24. You then would need to factor the equation out. The factored form would be (x-6)(x+4). Then set it equal to 0 to get 6 and -4.

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3 years ago
Given: ∠A and ∠B are complementary angles.
Eddi Din [679]

Answer:

 - For the statement -3x=24, the reason is: <em>Subtraction property of Equality</em>

- For the statement x=-8, the reason is: <em>Division property of Equality.</em>

- For the statement m\angle B=-6(-8)-39, the reason is: <em>Substitution property of Equality.</em>

Step-by-step explanation:

The missing pictures are attached.

We must remember that:

- The Subtraction property of Equality states that:

If\ a=b,\ then\ a+c=b+c

- The Division property of Equality states that:

If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}

- The Substitution property of Equality states that:

 If\ a=b,\ then\ b\ can\ replace\ a

Knowing this properties we can identify the missing reasons that correctly complete the proof.

 - For the statement -3x=24, the reason is:

Subtraction property of Equality

(Because it is obtained by subtracting  66 from both sides of -3x+66=90)

- For the statement x=-8, the reason is:

Division property of Equality

(Because it is obtained by dividing both sides of  -3x=24 by -3)

- For the statement m\angle B=-6(-8)-39, the reason is:

Substitution property of Equality

(Because it is obtained by substituting the value of "x" into   m\angle B=-6x-39)

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