Question

Which ordered pair is the solution to the system of equations? {x+5y=−15 and y=15x+1

Answer 1

Answer:  $(-\frac{5}{19},-\frac{56}{19})$

Step-by-step explanation:

Given the following system of equations:

$\left \{ {{x+5y=-15} \atop {y=15x+1}} \right.$

You can solve it using the Substitution Method.

You must subsitute the second equation into the first equation and then solve for "x":

$x+5(15x+1)=-15\\\\x+75x+5=-15\\\\76x=-20\\\\x=-\frac{5}{19}$

Now you must substitute the value of "x" into the second equation and evaluate, in order to find the value of "y":

$y=15(-\frac{5}{19})+1\\\\y=-\frac{56}{19}$

Therefore the ordered pair that is the solution to the system of equations, is:

$(-\frac{5}{19},-\frac{56}{19})$