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LiRa [457]
3 years ago
7

Solve both equations.

Mathematics
1 answer:
lakkis [162]3 years ago
5 0

Equation 1:

Answer:

x = 1.22

Step-by-step explanation:

\frac{5x-1}{8} -\frac{5-7x}{2} = \frac{3(6-x)}{6}

\frac{2(5x-1) - 8(5-7x)}{16} = \frac{3(6-x)}{6}

\frac{(10x-2) - (40-56x)}{16} = \frac{3(6-x)}{6}

\frac{(10x-2-40+56x)}{16} = \frac{3(6-x)}{6}

\frac{(66x-42)}{16} = \frac{3(6-x)}{6}

\frac{(66x-42)}{16} = \frac{(18-3x)}{6}

(66x-42) \times 6 = (18-3x) \times 16

(396x-252) = (288-48x)

(396x +48x) = (288+252)

444x = (540)

x = \frac{540}{444}

x = 1.22

Equation 2:

Answer:

x = -13.97

Step-by-step explanation:

\frac{x}{3} - \frac{7(x-2)}{9} = 4- \frac{2x-5}{6}

\frac{9x-3(7(x-2))}{27} = 4- \frac{2x-5}{6}

\frac{9x-3(7x-14))}{27} = 4- \frac{2x-5}{6}

\frac{9x-(21x-42))}{27} = 4- \frac{2x-5}{6}

\frac{9x-(21x-42)}{27} = \frac{24 - (2x-5)}{6}

\frac{-12x+42}{27} = \frac{-2x+29}{6}

(-12x+42) \times 6 = (-2x+29) \times 27

(-72x+252) = (-34x+783)

(252-783) = (-34x +72x)

(-531) = (38x)

x =\frac {-531}{38}

x = -13.97

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