Question

Which ordered pair is the solution to the system of equations x+5y= -15 y=1/5x+1 please help

Answer 1

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:

`x+5((1)/(5)x+1)=-15\\x+x+5=-15\\2x+5=-15\\2x=-20\\x=-10`

Now that we have the value of x, substitute it into either equation to solve for y:

`-10+5y=-15\\5y=-5\\y=-1\\\\y=(1)/(5)*(-10)+1\\y=-2+1\\y=-1`

The ordered pair that is the solution to this system of equations is (-10,-1).