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given-2x-3y-and-4y-3z-find-3x-4y-2x-y-5z-

Question Number 157972 by MathsFan last updated on 30/Oct/21 $$\:{given}\:\:\mathrm{2}{x}=\mathrm{3}{y}\:\:{and}\:\:\mathrm{4}{y}=\mathrm{3}{z} \\ $$$$\:{find}\:\:\:\frac{\mathrm{3}{x}−\mathrm{4}{y}}{\mathrm{2}{x}−{y}+\mathrm{5}{z}} \\ $$ Commented by tounghoungko last updated on 30/Oct/21 $${let}\:\mathrm{3}{y}={k}\Rightarrow{y}=\frac{{k}}{\mathrm{3}}\:\wedge\:\mathrm{2}{x}={k}\Rightarrow{x}=\frac{{k}}{\mathrm{2}} \\ $$$$\Rightarrow{z}=\frac{\mathrm{4}{k}}{\mathrm{9}} \\…

Question-26889

Question Number 26889 by shiva123 last updated on 31/Dec/17 Answered by prakash jain last updated on 31/Dec/17 $$\mathrm{3}.\:{A}\cap\left({B}−{C}\right)=\left({A}\cap{B}\right)−\left({A}\cap{C}\right) \\ $$$${x}\in{A}\cap\left({B}−{C}\right) \\ $$$$\Rightarrow{x}\in{A}\:\wedge{x}\in\left({B}−{C}\right) \\ $$$$\Rightarrow{x}\in{A}\wedge{x}\in{B}\wedge{x}\notin{C} \\…

partial-fraction-in-below-1-x-2-15x-41-x-2-x-3-2-2-4x-2-5x-6-x-1-x-2-4-

Question Number 157869 by joki last updated on 29/Oct/21 $$\mathrm{partial}\:\mathrm{fraction}\:\mathrm{in}\:\mathrm{below}: \\ $$$$\mathrm{1}.\:\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{15x}+\mathrm{41}}{\left(\mathrm{x}+\mathrm{2}\right)\left(\mathrm{x}−\mathrm{3}\right)^{\mathrm{2}} } \\ $$$$\mathrm{2}.\frac{\mathrm{4x}^{\mathrm{2}} −\mathrm{5x}+\mathrm{6}}{\left(\mathrm{x}+\mathrm{1}\right)\left(\mathrm{x}^{\mathrm{2}} +\mathrm{4}\right)} \\ $$ Answered by Rasheed.Sindhi last updated…