Answer: [tex](-\frac{5}{19},-\frac{56}{19})[/tex]
Step-by-step explanation:
Given the following system of equations:
[tex]\left \{ {{x+5y=-15} \atop {y=15x+1}} \right.[/tex]
You can solve it using the Substitution Method.
You must subsitute the second equation into the first equation and then solve for "x":
[tex]x+5(15x+1)=-15\\\\x+75x+5=-15\\\\76x=-20\\\\x=-\frac{5}{19}[/tex]
Now you must substitute the value of "x" into the second equation and evaluate, in order to find the value of "y":
[tex]y=15(-\frac{5}{19})+1\\\\y=-\frac{56}{19}[/tex]
Therefore the ordered pair that is the solution to the system of equations, is:
[tex](-\frac{5}{19},-\frac{56}{19})[/tex]
