randRangeNonZero(3, 12)*randRangeNonZero(-1,1) "x + " + xConstant randRange( 0, 3 ) insertionIndex > 1 ? false : true insertionIndex % 2 !== 0 ? false: true function(){var e=randRangeUnique(5,12,3);return e.splice(insertionIndex,0,xExpression),e}() function(){return numerator1===xExpression?[numerator2*denominator1,denominator2]:numerator2===xExpression?[numerator1*denominator2,denominator1]:denominator1===xExpression?[numerator1*denominator2,numerator2]:[numerator2*denominator1,numerator1]}() (solutionNumerator/solutionDenominator) - xConstant function(){return numerator1===xExpression?denominator1:numerator2===xExpression?denominator2:xExpression}() function(){var e=function(e,r){return r===hint1Multiplier?e:hint1Multiplier===xExpression?"\\dfrac{"+e+"}{"+r+"}("+xExpression+")":"\\dfrac{"+hint1Multiplier*e+"}{"+r+"}"};return[e(numerator1,denominator1),e(numerator2,denominator2)]}() function(){return denominator1===xExpression?"\\dfrac{"+denominator2+"}{"+numerator2+"}":denominator2===xExpression?"\\dfrac{"+denominator1+"}{"+numerator1+"}":hint1Multiplier}() function(){return denominator1===xExpression?["\\dfrac{"+solutionNumerator+"}{"+solutionDenominator+"}","("+xExpression+")"]:denominator2===xExpression?["("+xExpression+")","\\dfrac{"+solutionNumerator+"}{"+solutionDenominator+"}"]:[hint1Product1,hint1Product2]}() function(){return inLHS&&inDenominator||!inLHS&&!inDenominator?["\\cancel {\\dfrac{"+solutionNumerator+"}{"+solutionDenominator+"}}{"+solutionNumerator/solutionDenominator+"} - "+xConstant,"x"]:["x","\\cancel {\\dfrac{"+solutionNumerator+"}{"+solutionDenominator+"}}{"+solutionNumerator/solutionDenominator+"} - "+xConstant]}()

Multiplica ambos lados por hint1Multiplier

\color{red}{ (hint1Multiplier) \times } \dfrac{numerator1}{denominator1} = \dfrac{numerator2}{denominator2} \color{red}{ \times (hint1Multiplier) }

hint1Product1 = hint1Product2

Multiplica ambos lados por hint2Multiplier

\color{red}{ hint2Multiplier \times } hint1Product1 = hint1Product2 \color{red}{ \times hint2Multiplier }

hint2Product1 = hint2Product2

SumaResta abs(xConstant) ade cada lado y simplifica para aislar la x

hint2Product1 \color{red}{+ -xConstant} = hint2Product2 \color{red}{+ -xConstant}

hint3Product1 = hint3Product2

x es

= SOLUTION.

Resuelve para x.

\dfrac{numerator1}{denominator1} = \dfrac{numerator2}{denominator2}

x = SOLUTION