How would you solve this

Option B

Step-by-step explanation:

Angle SDE is an exterior angle. This question can be solved it two ways;

1. Find the m∠ FDE through the definition of Linear Pair, subtracting 115 from 180, and then through the ∑ of ∠s in Δ Theorem, solve for the value of x. Substitute into " 3x + 19 " and solve for the measure of DFE.

2. Apply the Exterior Angles Theorem and make m∠ SDE ( Exterior Angle ) equivalent to the sum of it's remote interior angles DFE and DEF. Given their measures to be 3x + 19 and 5x, we can solve for the value of x. Substitute into " 3x + 19 " and solve for the measure of DFE.

For the simplicity, I would consider the second option;

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

stethere all not eveanp-by-step explanation: