Question

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

Answer 1

The answer is "
`x= -(19)/(5) \ and \ y= - (99)/(5)`"

Step-by-step 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= -(19)/(5)`

put the value of x in equation (a):

`-(19)/(5) -y=16\\\\ -y=16 +(19)/(5)\\\\-y= (80+19)/(5)\\\\y= -(99)/(5)`