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Rearrange the equation by cross-multiplying to get:
\$\\simplify{{s}*({c} * x + {d}) = {t} *({a} * x + {b})}\$
Multiply out to get \$\\simplify{{s*c}*x+{s*d}={t*a}*x+{t*b}}.\$ Now solve this linear equation.

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\$\\simplify{{s} / ({a} * x + {b}) = {t} / ({c} * x + {d})}\$

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$x=\\;$ [[0]]

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If you want help in solving the equation, click on Show steps. If you do so then you will lose 1 mark.

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Input as a fraction or an integer, not as a decimal.

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Solve the following equation for $x$.

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Input your answer as a fraction or an integer as appropriate and not as a decimal.

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Solve for $x$: $\\displaystyle \\frac{s}{ax+b} = \\frac{t}{cx+d}$

\$\\simplify{{s}*({c} * x + {d}) = {t} *({a} * x + {b})}\$
Multiply out to get \$\\simplify{{s*c}*x+{s*d}={t*a}*x+{t*b}}.\$ Now this is a linear equation which is solved in the following steps: \$\\simplify{{s*c-t*a}*x={t*b-s*d}}\$ and then \$\\simplify{x={t*b-s*d}/{s*c-t*a}}.\$