Solve: 2x + 7y =39 and 3x + 5y – 31 =0.Hence find m, if m=2x+3y.
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Solve: 2x + 7y =39 and 3x + 5y – 31 =0.Hence find m, if m=2x+3y.
refer to attachment
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Multiply the equation 2x+7y=39 by 3 and equation 3x+5y=31 by 2 to make the coefficients of x equal. Then we get the equations:
6x+21y=117 (1)
6x+10y=62 (2)
Subtract Equation (2) from Equation (1) to eliminate x, because the coefficients of x are the same. So, we get
(6x−6x)+(21y−10y)=117−62
i.e. 11y=55
i.e. y=5
Substituting this value of y in the equation 2x+7y=39, we get
2x+35=39
i.e. 2x=4
i.e. x=2
Hence, the solution of the equations is x=2,y=5.
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