Solution ordered pair is
[tex](-\frac{5}{19},\:-\frac{56}{19})[/tex]
Given :
System of equations are
x+5y=-15
y=15x+1
Explanation :
We use the given two equations and solve for x and y.
(x,y) be the solution for the system of equations
We apply substitution method , Replace second equation y in first equation
[tex]x+5y=-15\\x+5(15x+1)=-15\\x+75x+5=-15\\76x+5=-15\\\\Subtract 5\\76x=-20\\Divide by \;76\\\\x=-\frac{5}{19}[/tex]
Now we replace x value in second equation and find out y
[tex]y=15x+1\\y=15\left(-\frac{5}{19}\right)+1\\y=-\frac{56}{19}[/tex]
solution is [tex](-\frac{5}{19},\:-\frac{56}{19})[/tex]
Learn more : brainly.com/question/6657299
