So for this, I will be using the substitution method. With the first equation, substitute y for (1/5x + 1) and from there solve for x:
[tex] x+5(\frac{1}{5}x+1)=-15\\x+x+5=-15\\2x+5=-15\\2x=-20\\x=-10 [/tex]
Now that we have the value of x, substitute it into either equation to solve for y:
[tex] -10+5y=-15\\5y=-5\\y=-1\\\\y=\frac{1}{5}*(-10)+1\\y=-2+1\\y=-1 [/tex]
The ordered pair that is the solution to this system of equations is (-10,-1).
