Rational equation for x, 3x/x+1 + 4/x-2=3

x = - 10

Step-by-step explanation:

Express the fractions on the left side as a single fraction.

Multiply the numerator/denominator of the first fraction by (x - 2)

Multiply the numerator/denominator of the second fraction by (x + 1)

+ = 3

Distribute the numerators and simplify

= 3 ( cross- multiply )

3x² - 2x + 4 = 3(x+ 1)(x - 2) ← distribute

3x² - 2x + 4 = 3(x² - x - 2)

3x² - 2x + 4 = 3x² - 3x - 6 ( subtract 3x² - 3x  from both sides )

x + 4 = - 6 ( subtract 4 from both sides )

x = - 10

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rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500