What are the solutions to the system of equations? y=−x2−5x −6x+y=−3

Step-by-step explanation:

y = -x² - 5x

-6x + y = -3            

Use substitution method:

-6x + (-x² - 5x) = -3      substituted "y" with "-x² - 5x"

-x² -11x = -3                 simplified left side (added like terms)

-x² - 11x + 3 = 0            added 3 to both sides

Solve using quadratic formula:

a = -1, b = -11, c = 3

  and    

Next, solve for "y" by plugging the x-values above into the equation: y = -x² - 5x

and

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.