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loris [4]
3 years ago
11

Solve the equation -6 = -9 – 3x for x. A.-2 B.-1 C.0 D.1

Mathematics
1 answer:
Furkat [3]3 years ago
8 0

Answer:

B. -1

Step-by-step explanation:

-6 = -9 - 3x

1. get the variable <em>x</em> by itself by adding 9 to both sides

-6 = -9 - 3x

+9    +9

3 = -3x

2. solve for <em>x </em>by dividing by -3 on both sides

3 = -3x

/-3  /-3

3/ -3 = -1

x = -1

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Answer:

Part A) x = -3

Part B) x = 1, x = -7

Part C) x < -7

Part D) 2

Step-by-step explanation:

<h3>Part A)</h3>

2(x - 3) = 3x - 3

<em>open the parenthesis</em>

2 * x - 2 * 3 = 3x - 3

2x - 6 = 3x - 3

<em>subtract 2x from both sides</em>

2x - 2x - 6 = 3x - 2x - 3

-6 = x - 3

<em>add 3 to both sides</em>

-6 + 3 = x

-3 = x

<h3>Part B)</h3>

|2x + 6| = 8

<em>split this into two equations:</em>

<em>2x + 6 = 8</em>

<em>&</em>

<em>2x + 6 = -8</em>

2x + 6 = 8

2x = 8-6

2x = 2

x = 1

2x + 6 = -8

2x = -8 - 6

2x = -14

x = -7

<h3>Part C)</h3>

-5(x + 1) > 30

<em>open the parenthesis</em>

-5x - 5 > 30

<em>add 5 to both sides</em>

-5x > 35

<em>divide both sides by -5</em>

x > -7

<em>since you divided by a negative, flip the sign.</em>

x < -7

<h3>Part D)</h3>

f(x) = 4x - 3

<em>substitute x for 5</em>

5 = 4x - 3

5 + 3 = 4x

8 = 4x

2 = x

5 0
3 years ago
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