4x+y=7, 16x+4y=28 solve the following equation by simultaneous method
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I think you want substitution method
![y = 7 - 4x \\ 16x + 4(7 - 4x) = 28 \\ 16x + 28 - 16x = 28 \\ 28 = 28 y = 7 - 4x \\ 16x + 4(7 - 4x) = 28 \\ 16x + 28 - 16x = 28 \\ 28 = 28](https://tex.z-dn.net/?f=y+%3D+7+-+4x+%5C%5C+16x+%2B+4%287+-+4x%29+%3D+28+%5C%5C+16x+%2B+28+-+16x+%3D+28+%5C%5C+28+%3D+28)
so we can see that value of x and y can't be evaluated.
now compare the coefficient
![\frac{4}{16} = \frac{1}{4} = \frac{7}{28} \\ \frac{1}{4} = \frac{1}{4} = \frac{1}{4} \frac{4}{16} = \frac{1}{4} = \frac{7}{28} \\ \frac{1}{4} = \frac{1}{4} = \frac{1}{4}](https://tex.z-dn.net/?f=+%5Cfrac%7B4%7D%7B16%7D++%3D++%5Cfrac%7B1%7D%7B4%7D++%3D++%5Cfrac%7B7%7D%7B28%7D++%5C%5C++%5Cfrac%7B1%7D%7B4%7D++%3D++%5Cfrac%7B1%7D%7B4%7D++%3D++%5Cfrac%7B1%7D%7B4%7D+)
so these equation has infinitely many solution
so we can see that value of x and y can't be evaluated.
now compare the coefficient
so these equation has infinitely many solution
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