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bonufazy [111]
3 years ago
15

3/5x+19−320x−7 simplified is

Mathematics
2 answers:
Neko [114]3 years ago
4 0

Answer:

(60 - 1597 x)/5

Step-by-step explanation:

Simplify the following:

(3 x)/5 - 320 x - 7 + 19

Hint: | Put the fractions in (3 x)/5 - 320 x - 7 + 19 over a common denominator.

Put each term in (3 x)/5 - 320 x - 7 + 19 over the common denominator 5: (3 x)/5 - 320 x - 7 + 19 = (3 x)/5 - (1600 x)/5 - 35/5 + 95/5:

(3 x)/5 - (1600 x)/5 - 35/5 + 95/5

Hint: | Combine (3 x)/5 - (1600 x)/5 - 35/5 + 95/5 into a single fraction.

(3 x)/5 - (1600 x)/5 - 35/5 + 95/5 = (3 x - 1600 x - 35 + 95)/5:

(3 x - 1600 x - 35 + 95)/5

Hint: | Group like terms in 3 x - 1600 x - 35 + 95.

Grouping like terms, 3 x - 1600 x - 35 + 95 = (95 - 35) + (3 x - 1600 x):

((95 - 35) + (3 x - 1600 x))/5

Hint: | Combine like terms in 3 x - 1600 x.

3 x - 1600 x = -1597 x:

(-1597 x + (95 - 35))/5

Hint: | Evaluate 95 - 35.

95 - 35 = 60:

Answer: (60 - 1597 x)/5

alukav5142 [94]3 years ago
3 0

Answer: 1597x-60/5

Step-by-step explanation:

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Step-by-step explanation:

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- Multiply both sides of the equation by (m+3)(3-m) and simplify:

\frac{(-m^2-6m+9)(m+3)(3-m)}{(m+3)(3-m)}=\frac{(m^2+9)(m+3)(3-m)}{(m+3)(m-3)}\\\\-m^2-6m+9=\frac{(m^2+9)(3-m)}{(m-3)}

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- Apply Distributive property and simplify:

(-m^2-6m+9)(m-3)=(m^2+9)(3-m)\\\\-m^3-6m^2+9m+3m^2+18m-27=3m^2+27-m^3-9m\\\\-m^3-3m^2+27m-27+m^3-3m^2+9m-27=0\\\\-6m^2+36m-54=0

- Divide both sides of the equation by -6:

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- Factor the equation and solve for "m":

(m-3)^2=0\\\\m=3

In order to verify it, you must substitute m=3 into the equation and solve it:

\frac{3}{3+3}-\frac{3}{3-3}=\frac{3^2+9}{3^2-9}\\\\\frac{3}{6}-\frac{3}{0}=\frac{18}{0}

<em>NO SOLUTION</em>

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