Solve for x x^2 + 6x + 1 = 0

x = -.1715 ≈ - .172    or x = -5.83

Step-by-step explanation:

x² + 6x + 1 = 0

x² + 6x = -1

Complete the square   Add to both sides (1/2 of the x-term, then square it.)

x² + 6x + 9  = -1 + 9

(x + 3)(x + 3) = 8

(x + 3)² = 8

 =

 x + 3 = ±  

  x = -3 ±

   x = -3 +   or x = -3 -

   x = -.1715 ≈ - .172    or x = -5.83

(2,3)

Step-by-step explanation:

A system of equations is 2 or more equations for which the same x,y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Substitution can be used by substituting the value of one variable into the equation.

Because y=5x-7, we can substitute 5x-7 into y in -3x-2y=-12.

-3x-2(5x-7)=-12

-3x-10x+14=-12

-13x+14=-12

-13x+14-14=-12-14

-13x=-26

x=2

We now substitute x=2 into y=5x-7.

y=5(2)-7

y=10-7

y=3