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vladimir1956 [14]
3 years ago
14

1/5 (4-3x) = 1/7 (3x - 4) pls solve it pls pls

Mathematics
2 answers:
Galina-37 [17]3 years ago
5 0

\huge \boxed{\mathfrak{Question} \downarrow}

  • \large\sf\frac{1}{5} (4 - 3x) =  \frac{1}{7} (3x - 4) \\

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\frac{1}{5} (4 - 3x) =  \frac{1}{7} (3x - 4) \\

Use the distributive property to multiply 1/5 by 4-3x.

\frac{1}{5}\times 4+\frac{1}{5}\left(-3\right)x=\frac{1}{7}\left(3x-4\right)  \\

Multiply 1/5 and 4 to get 4/5.

\frac{4}{5}+\frac{1}{5}\left(-3\right)x=\frac{1}{7}\left(3x-4\right)  \\

Multiply 1/5 and -3 to get -3/5.

\frac{4}{5}+\frac{-3}{5}x=\frac{1}{7}\left(3x-4\right)  \\

Use the distributive property to multiply 1/7 by 3x-4.

\frac{4}{5}-\frac{3}{5}x=\frac{1}{7}\times 3x+\frac{1}{7}\left(-4\right)  \\

Multiply 1/7 and 3 to get 3/7 & 1/7 × -4 to get -4/7.

\frac{4}{5}-\frac{3}{5}x=\frac{3}{7}x-\frac{4}{7}  \\

Subtract \frac{3}{7}x\\ from both sides.

\frac{4}{5}-\frac{3}{5}x-\frac{3}{7}x=-\frac{4}{7}  \\

Combine -\frac{3}{5}x\\ and -\frac{3}{7}x\\ to get -\frac{36}{35}x\\.

\frac{4}{5}-\frac{36}{35}x=-\frac{4}{7}  \\

Subtract 4/5 from both sides.

-\frac{36}{35}x=-\frac{4}{7}-\frac{4}{5}  \\

The least common multiple of 7 and 5 is 35. Convert -4/7 and 4/5 to fractions with denominator 35.

-\frac{36}{35}x=-\frac{20}{35}-\frac{28}{35}  \\

Because -\frac{20}{35} \\ and \frac{28}{35}\\ have the same denominator, subtract them by subtracting their numerators.

-\frac{36}{35}x=\frac{-20-28}{35}  \\

Subtract 28 from -20 to get -48.

-\frac{36}{35}x=-\frac{48}{35}  \\

Multiply both sides by -\frac{35}{36}\\, the reciprocal of -\frac{36}{35}\\.

x=-\frac{48}{35}\left(-\frac{35}{36}\right)  \\

Multiply -\frac{48}{35}\\ by -\frac{35}{36}\\ by multiplying the numerator by the numerator and the denominator by the denominator.

x=\frac{-48\left(-35\right)}{35\times 36}  \\

Carry out the multiplications in the fraction \frac{-48\left(-35\right)}{35\times 36}\\.

x=\frac{1680}{1260}  \\

Reduce the fraction 1680/1260 to its lowest terms by extracting and cancelling out 420.

\huge \boxed{ \boxed{ \bf \: x=\frac{4}{3}  \approx \: 1.33}}

8_murik_8 [283]3 years ago
4 0

Answer:

x=4/3

Step-by-step explanation:

In pic

(hope this helps can I pls have brainlist (crown)☺️)

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