Find the solution of the system of equations.
-2x + 9y = -41
−2x -5y =1

y = -3      x = 7

Step-by-step explanation:

-2x + 9y = -41

(-2x -5y =1) -1            Multiply this equation by -1 to cancel the x

-2x + 9y = -41

+ 2x + 5y = -1            Add both equations

14y =  -42                  Divide both sides by 14

y = -3

Plug -3 in for y into one of the equations

-2x + 9(-3) = -41          Multiply 9(-3)

-2x - 27 = -41

     + 27 + 27              Add 27 to both sides

-2x = -14                      Divide both sides by -2

x = 7

If this answer is correct, please make me Brainliest!

step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.