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3 years ago

-2(x - 8) + 4x = -12

Mathematics

1 answer:

Deffense [45]3 years ago

7 0

Answer:

x = 14

Step-by-step explanation:

Solve for x:

4 x - 2 (x - 8) = -12

-2 (x - 8) = 16 - 2 x:

4 x + 16 - 2 x = -12

4 x - 2 x = 2 x:

2 x + 16 = -12

Subtract 16 from both sides:

2 x + (16 - 16) = -16 - 12

16 - 16 = 0:

2 x = -16 - 12

-16 - 12 = -28:

2 x = -28

Divide both sides of 2 x = -28 by 2:

(2 x)/2 = (-28)/2

2/2 = 1:

x = (-28)/2

The gcd of -28 and 2 is 2, so (-28)/2 = (2 (-14))/(2×1) = 2/2×-14 = -14:

Answer: x = -14

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3 years ago

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3 years ago

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3 years ago

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azamat

Question 6

Given:

QR = RS

QR = x + 6

RS = 4x

To find:

Length of line segment QS

Steps:

We know QR = RS, so substituting we get,

x + 6 = 4x

6 = 4x - x

6 = 3x

6/3 = x

2 = x

x = 2

Now,

QS = QR + RS

QS = x + 6 + 4x

QS = 2 + 6 + 4(2)

QS = 2 + 6 + 8

QS = 8 + 8

QS = 16 units

Therefore, the length of QS is 16 units

Question 7

Given:

QR = RS

QR = 2x - 2

RS = 2x

To find:

Length of line segment QS

Steps:

We know that QR = RS, so substituting the values we get,

QR = RS

3x - 2 = 2x

3x - 2 - 2x = 0

3x - 2x = 2

x =2

Now,

QS = QR + RS

QS = 3x - 2 + 2x

QS = 3(2) - 2 + 2(2)

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Therefore, the length of QS is 8 units

Happy to help :)

If u need any help feel free to ask

7 0

3 years ago

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