What is the solution to the system of equations?
y=-3x - 2
5x + 2y = 15
(-40, 19)
(-19,55)
(19,-40)
(55, -19)

(- 19, 55 )

Step-by-step explanation:

Given the 2 equations

y = - 3x - 2 → (1)

5x + 2y = 15 → (2)

Substitute y = - 3x - 2 into (2)

5x + 2(- 3x - 2) = 15 ← distribute and simplify left side

5x - 6x - 4 = 15

- x - 4 = 15 ( add 4 to both sides )

- x = 19 ( multiply both sides by - 1 )

x = - 19

Substitute x = - 19 into (1) for corresponding value of y

y = - 3(- 19) - 2 = 57 - 2 = 55

Solution is (- 19, 55 )

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: