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3 years ago

HURRY PLEASE

Mathematics

2 answers:

MAVERICK [17]3 years ago

8 0

Answers - from top to bottom

$7(x - 2) = x + 16$
$distributive \: property$
$addition \: property \: of \: equality$
$7x = x + 30$
$subtraction \: property \: of \: equality$
$6x = 30$
$division \: property \: of \: equality$
$simplifying$

LUCKY_DIMON [66]3 years ago

6 0

Answer:

Statement Reason

1. $7(x-2)=x+16$ Given

2. $7x-14=x+16$ Distributive property

3. $7x-14+14=x+16+14$ Addition property of equality

4. $7x=x+30$ Simplifying

5. $7x-x=x+30-x$ Subtraction property of equality

6. $6x=30$ Substitute property of equality

7. $\frac{6x}{6}=\frac{30}{6}$ Division property of equality

8. $x=5$ Simplifying

Step-by-step explanation:

The given equation is

$7(x-2)=x+16$

The solution of given equation is x=5.

We need to write a complete proof.

Statement Reason

1. $7(x-2)=x+16$ Given

2. $7x-14=x+16$ Distributive property

3. $7x-14+14=x+16+14$ Addition property of equality

4. $7x=x+30$ Simplifying

5. $7x-x=x+30-x$ Subtraction property of equality

6. $6x=30$ Substitute property of equality

7. $\frac{6x}{6}=\frac{30}{6}$ Division property of equality

8. $x=5$ Simplifying

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For this case we have the following equation:

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Different signs are subtracted and the major sign is placed.

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On the right side we must take into account that:

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So:

$\frac {5} {3} x + 2 = 4-x-1\\\frac {5} {3} x + 2 = 3-x$

We add x to both sides of the equation:

$\frac {5} {3} x + x + 2 = 3\\\frac {5 * 1 + 3 * 1} {3} x + 2 = 3\\\frac {5 + 3} {3} x + 2 = 3\\\frac {8} {3} x + 2 = 3$

We subtract 2 from both sides of the equation:

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We divide by 8 on both sides of the equation:

$x = \frac {3} {8}$

Thus, the solution of the equation is:

$x = \frac {3} {8}$

Answer:

$x = \frac {3} {8}$

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