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Evaluate the expression for x=−15x = -15 and y=14y = 14. Simplify your answer.\newlineyx+y=\frac{y}{x} + y =___\_\_\_

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Q. Evaluate the expression for x=−15x = -15 and y=14y = 14. Simplify your answer.\newlineyx+y=\frac{y}{x} + y =___\_\_\_
  1. Substitute Values: Substitute the given values for xx and yy into the expression yx+y\frac{y}{x} + y.\newlineExpression: 14(−15)+14\frac{14}{(-15)} + 14
  2. Simplify Fraction: Simplify the fraction 14(−15)\frac{14}{(-15)}.\newlineSince 1414 and −15-15 have no common factors other than 11, the fraction cannot be simplified further.\newline14(−15)=−1415\frac{14}{(-15)} = -\frac{14}{15}
  3. Add Fraction to y: Now add the simplified fraction to y.\newline−1415+14-\frac{14}{15} + 14\newlineTo add the fraction to the whole number, convert the whole number to a fraction with the same denominator as the fraction.\newline14=14×(1515)=2101514 = 14 \times \left(\frac{15}{15}\right) = \frac{210}{15}
  4. Convert Whole Number: Add the two fractions with the same denominator.\newline−1415+21015-\frac{14}{15} + \frac{210}{15}\newlineCombine the numerators and keep the denominator the same.\newline(−14+210)/15({-14} + {210}) / {15}
  5. Combine Fractions: Perform the addition in the numerator. −14+210=196-14 + 210 = 196
  6. Perform Addition: Write the final simplified result.\newline19615\frac{196}{15}\newlineThis fraction cannot be simplified further, as 196196 and 1515 have no common factors other than 11.

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