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SIZIF [17.4K]
3 years ago
14

17/3 (x - 3/2) = - 5/4 can you solve for x?

Mathematics
1 answer:
kow [346]3 years ago
4 0

Answer:

\boxed{x =\dfrac{87}{68}}

Step-by-step explanation:

\dfrac{17}{3} \left(x-\dfrac{3}{2} \right) = -\dfrac{5}{4}

Using FOIL in LHS

\dfrac{17}{3}x - \dfrac{17}{3} \cdot \dfrac{3}{2} = -\dfrac{5}{4}

\dfrac{17}{3}x - \dfrac{51}{6} = -\dfrac{5}{4}

\dfrac{17}{3}x = -\dfrac{5}{4}+ \dfrac{51}{6}

\dfrac{17}{3}x = -\dfrac{5(3)}{4(3)}+ \dfrac{51(2)}{6(2)}

\dfrac{17}{3}x = -\dfrac{15}{12}+ \dfrac{102}{12}

Now the denominator of the fractions in the RHS are the same

\dfrac{17}{3}x = \dfrac{87}{12}

x = \dfrac{87}{12} \cdot \dfrac{3}{17}

x =\dfrac{261}{204} = \dfrac{87}{68}

\boxed{x =\dfrac{87}{68}}

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