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melamori03 [73]
3 years ago
9

What value of x make the equation 24-(3x - 9)-6= -2(4x - 10+ 5x + 7 true?

Mathematics
1 answer:
maksim [4K]3 years ago
7 0

Answer:

x = 0

Step-by-step explanation:

24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7

solve the brackets by using the distribute property:

1(3x - 9) = 3x - 9

-2(2x - 10) = -8x + 20

rewrite the equation:

24 - 3x - 9 - 6 = -8x + 20 + 5x + 7

combine like therms:

27 - 3x = -3x + 27

subtract 27 from both sides:

27 - 3x - 27 = -3x + 27 - 27

- 3x = -3x

add x to both sides of the equation:

-3x + 3x = -3x + 3x

x = x or 0 = 0

to check, substitute 0 for x

24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7

anything times 0 is 0

24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7

solve:

24 + 9 - 6 = 0 + 20 + 0 + 7

27 = 27

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Answer: Choice A

The fractions are not equivalent because the product of the numerator of the first fraction and the denominator of the second fraction is <u>   15   </u> ​, which is not equal to the product of the numerator of the second fraction and the denominator of the first​ fraction <u>    16    </u>

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Explanation:

We have the template \frac{P}{Q} = \frac{R}{S} which cross multiplies to PS = QR

So if \frac{3}{4} = \frac{4}{5} was true, then 3*5 = 4*4 must be true as well, and vice versa.

The left side 3*5 turns into 15, while the right hand side 4*4 becomes 16. The 15 and 16 don't match up.

In short, 3*5 = 4*4 turns into 15 = 16 which is a false statement. So the original claim that \frac{3}{4} = \frac{4}{5} is also false.

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