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I am Lyosha
[343]
3 years ago
15
3a+2b=193 Find a and b
Mathematics
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1
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galina1969
[7]
3 years ago
6
0
Hope this made sense
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![\sqrt[3]{\dfrac{x^3}{cy^4}}=\dfrac{x}{4y\sqrt[3]{y}}\\\\\\\dfrac{\sqrt[3]{x^3}}{\sqrt[3]{cy^3\cdot y}}=\dfrac{x}{4y\sqrt[3]{y}}\\\\\\\dfrac{x}{y\sqrt[3]{cy}}=\dfrac{x}{4y\sqrt[3]{y}}\\\\\\\sqrt[3]{cy}=4\sqrt[3]{y}\\\\\sqrt[3]{c}\sqrt[3]{y}=4\sqrt[3]{y}\\\\\sqrt[3]{c}=4\qquad|(\ldots)^3\\\\c=4^3\\\\\boxed{c=64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cdfrac%7Bx%5E3%7D%7Bcy%5E4%7D%7D%3D%5Cdfrac%7Bx%7D%7B4y%5Csqrt%5B3%5D%7By%7D%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B%5Csqrt%5B3%5D%7Bx%5E3%7D%7D%7B%5Csqrt%5B3%5D%7Bcy%5E3%5Ccdot%20y%7D%7D%3D%5Cdfrac%7Bx%7D%7B4y%5Csqrt%5B3%5D%7By%7D%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7By%5Csqrt%5B3%5D%7Bcy%7D%7D%3D%5Cdfrac%7Bx%7D%7B4y%5Csqrt%5B3%5D%7By%7D%7D%5C%5C%5C%5C%5C%5C%5Csqrt%5B3%5D%7Bcy%7D%3D4%5Csqrt%5B3%5D%7By%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7Bc%7D%5Csqrt%5B3%5D%7By%7D%3D4%5Csqrt%5B3%5D%7By%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7Bc%7D%3D4%5Cqquad%7C%28%5Cldots%29%5E3%5C%5C%5C%5Cc%3D4%5E3%5C%5C%5C%5C%5Cboxed%7Bc%3D64%7D)
