Question

solve for x 5x+1/7x+5=3x+1/7x+1​

Answer 1

Answer:

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Step-by-step explanation:

$\large \: \frac{5x + 1}{7 x+ 5} = \frac{3x + 1}{7x + 1} \\ \\ \large \:By \: \: cross \: \: multiplication \\ \\ \large \:(5x + 1)(7x + 1) = (3x + 1) (7x + 5) \\ \\ \large \:35 {x}^{2} + 5x + 7x +1 = 21 {x}^{2} + 15x + 7x + 5 \\ \\ \large \:35 {x}^{2} + 12x +1 = 21 {x}^{2} + 22x + 5 \\ \\ \large \:35 {x}^{2} - 21 {x}^{2} + 12x - 22x + 1 - 5=0 \\ \\\large \: 14 {x}^{2} - 10x - 4=0 \\ \\ \large \:By \: \: factorising, \: \: we \: \: get \\ \\ \large \red{ x = \frac{ - 2}{7} \: \:o r \: \: x = 1}$