Question

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

Answer 1

Answer:

The answer is "$x= -\frac{19}{5} \ and \ y= - \frac{99}{5}$"

Explanation:

$\to x-y=16..........(a) \\\\ \to 7x+2y=13.........(b)$

In equation (a) multiply by 2 then subtract from the equation (b):

$7x+2y=13\\\\2x-2y=32\\\\- \ -\ = -\ \\\\5x = -19 \\\\x= -\frac{19}{5}$

put the value of x in equation (a):

$-\frac{19}{5} -y=16\\\\ -y=16 +\frac{19}{5}\\\\-y= \frac{80+19}{5}\\\\y= -\frac{99}{5}$