4/x+3y=14 and 3/x-4y=23
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Posted by Abhishek Anand 6 years, 11 months ago
- 3 answers
Ram Kushwah 6 years, 11 months ago
{tex}\begin{array}{l}\frac4{\mathrm x}+3\mathrm y=14\;\;-----(1)\\\frac3{\mathrm x}-4\mathrm y=23\;-----(2)\\\mathrm{Multiply}\;(1)\;\mathrm{by}\;3\;\mathrm{and}\;(2)\;\mathrm{by}\;(4)\;\mathrm{we}\;\mathrm{get}\\\frac{12}{\mathrm x}+9\mathrm y=42----(3)\\\frac{12}{\mathrm x}-16\mathrm y=92\;----(4)\\\mathrm{Subtracting}\;(4\;\mathrm{from}(3)\mathrm{we}\;\mathrm{get}\\0\;+25\mathrm y=42-92=-50\\\mathrm{So}\;\;\mathrm y=-50/25=-2\\\\\\\end{array}{/tex}
{tex}\begin{array}{l}\mathrm{puttig}\;\mathrm{value}\;\mathrm{of}\;\mathrm y\;\mathrm{in}\;(\;1)\;\mathrm{we}\;\mathrm{get}\\\;4/\mathrm x+3\mathrm y=14\;\\\;4/\mathrm x+3(-2)=14\\4/\mathrm x-6=14\;\\4/\mathrm x=20\;\;\;\mathrm{So}\;\mathrm x=5/20=1/4\;\;\;\mathrm{and}\;\mathrm y=\;-2\;\mathrm{ans}\\\\\\\end{array}{/tex}
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Ram Kushwah 6 years, 11 months ago
Sorry x=4/20=1/5 and y=-2
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