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Answer :

Given that, \(\frac { 3y+4 }{ 2-6y } =\frac { -2 }{ 5 }\)

\(\Rightarrow 5(3y + 4) = -2(2 – 6y)\quad \) [Cross-multiplication]

\(\Rightarrow 15y + 20 = -4 + 12y \quad \)[Solving the bracket]

\(\Rightarrow 15y – 12y = -4 – 20\quad \) [Transposing 12y to LHS and 20 to RHS]

\(\Rightarrow 3y = -24\quad \) [Transposing 3 to RHS]

\(\Rightarrow y = -8\)

- 1. \(\frac { 8x-3 }{ 3x } =2\)
- 2. \(\frac { 9x }{ 7-6x } = 15\)
- 3.\(\frac { z }{ z+15 } =\frac { 4 }{ 9 }\)
- 5. \(\frac { 7y+4 }{ y+2 } =\frac { -4 }{ 3 }\)
- 6. The ages of Hari and Harry are in the ratio 5 : 7. Four years from now the ratio of their ages will be 3 : 4. Find their present ages.
- 7.The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is \frac { 3 }{ 2 }. Find the rational number.

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