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3 years ago

Find the value of x. * 7x-1 + 6x-1 = 180

Mathematics

2 answers:

Len [333]3 years ago

6 0

I believe the answer is x=14

GREYUIT [131]3 years ago

3 0

answer:

x = 14

explanation:

7x - 1 + 6x - 1 = 180

( group like terms )

7x + 6x - 1 - 1 = 180

( add like terms: 7x + 6x = 13x )

13x - 1 - 1 = 180

( subtract whole numbers: -1 - 1 = -2 )

13x - 2 = 180

( add 2 to both sides )

13x - 2 + 2 = 180 + 2

( simplify )

13x = 182

( divide both sides by 13 )

13x / 13 = 182 / 13

( simplify )

x = 14

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EXPLANATION

The given expression is

$(9 {c}^{ - 9} )^{ - 3}$

Recall that:

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We use the law of exponents to get

$(9 {c}^{ - 9} )^{ - 3} = 9^{ - 3} {c}^{ - 9 \times - 3}$

Let us multiply in the exponents to get:

$(9 {c}^{ - 9} )^{ - 3} = 9^{ - 3} {c}^{ 27}$

Recall again that:

${a}^{ - m} = \frac{1}{ {a}^{m} }$

This implies that:

$(9 {c}^{ - 9} )^{ - 3} = \frac{1}{ {9}^{ 3} } \times {c}^{ 27}$

We expand the power to get:

$(9 {c}^{ - 9} )^{ - 3} = \frac{1}{9 \times 9 \times 9} \times {c}^{ 27}$

$(9 {c}^{ - 9} )^{ - 3}=\frac{1}{729} \times {c}^{ 27}$

We multiply out to get:

$(9 {c}^{ - 9} )^{ - 3}=\frac{{c}^{ 27} }{729}$

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