X-y=16 7x+2y=13 solving system of Equations by substitution

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x-y=16 7x+2y=13 solving system of Equations by substitution

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Answer:The answer is "[tex]x= -\frac{19}{5} \ and \ y= - \frac{99}{5}[/tex]"Explanation:[tex]\to x-y=16..........(a) \\\\ \to 7x+2y=13.........(b)\\[/tex]In equation (a) multiply by 2 then subtract from the equation (b):[tex]7x+2y=13\\\\2x-2y=32\\\\- \ -\ = -\ \\\\5x = -19 \\\\x= -\frac{19}{5}[/tex]put the value of x in equation (a):[tex]-\frac{19}{5} -y=16\\\\ -y=16 +\frac{19}{5}\\\\-y= \frac{80+19}{5}\\\\y= -\frac{99}{5}[/tex]

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