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Answers for “如何验证有序数对是否满足含有分数的线性方程?”

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To verify an ordered pair solves a linear equation with fractions, substitute the xx and yy values into the left-hand side of the equation. Evaluate the products by multiplying each fraction by its corresponding integer.

Conditions: The candidate solution values must already be known.; The equation being checked contains those variables with fractional coefficients.

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The fraction 2220\frac{22}{20} simplifies to 1110\frac{11}{10} by dividing both the numerator and the denominator by their greatest common factor, which is 2. Since 22÷2=1122 \div 2 = 11 and 20÷2=1020 \div 2 = 10, the reduced fraction is 1110\frac{11}{10}.

Conditions: The numerator (22) and denominator (20) share a common factor greater than 1.; The same nonzero factor (2) divides both the numerator and the denominator.