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Mashcka [7]
3 years ago
5

How do you simply 5/2(6x-7)+4/3(2+9x)

Mathematics
1 answer:
marshall27 [118]3 years ago
6 0

Answer:

27x+−89/6

Step-by-step explanation:

Let's simplify step-by-step.

5/2(6x−7)+4/3(2+9x)

Distribute:

=(5/2)(6x)+(5/2)(−7)+(4/3)(2)+(4/3)(9x)

=15x+−35/2+8/3+12x

Combine Like Terms:

=15x+−35/2+8/3+12x

=(15x+12x)+(−35/2+8/3)

=27x+−89/6

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Answer:

You're correct. x = 24.

Step-by-step explanation:

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3 years ago
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Answer:

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(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}

\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}

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\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}

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This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

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