Asystem of equations is shown below:
6x = -7y + 11
5x + 2y = 13
what is the solution to this system of equations? (4 points)
(-3, 1)
(-1, 3)
(1, -3)
(3, -1)

6x + 7y = 11  . . . . (1)
5x + 2y = 13 . . . .  (2)

6x + 7y = 11  (multiply through by 2)  →   12x + 14y = 22   ()

5x + 2y = 13  (multiply through by 7)  →   35x + 14y = 91   ()

    by subtracting () from ()

   ⇒  (35x + 14y) - (12x + 14y) = 91 - 22
     ⇒      35x - 12x + 14y - 14y = 91 - 22
                                 ⇒      23x = 69
                              ⇒ 23x ÷ 23 = 69 ÷ 23
                                          ∴  x = 3

By substituting found value of x into (2),
          ⇒     5(3)  +  2y  =  13 
          ⇒       15  +  2y = 13
          ⇒                 2y = 13 - 15
                              2y = -2
                        ∴      y = -1

Thus the solution to the system is (3 , -1)

Hello there! So, this is a quadrilateral and quadrilaterals equal 360 degrees. Let’s combine like terms to start off. 39x + 9 = 360. First, let’s subtract 9 from both sides to get 39x = 351. Next, divide each side y 39 to isolate the “x”. When you do that, x = 9. Now, let’s plug in the values for each, when you do, here are the final answers.

x = 9
E = 75 degrees
F = 91 degrees
G = 89 degrees
H = 105 degrees

Those are all of the angle measurements, but it wants the measurement of angle H. Therefore, that angle measurement is 105 degrees.