Y=5x-7
-3x-2y=-12
Find x

11/6=x

Step-by-step explanation:

System of Linear Equations entered :

 [1]           y=5x-7

 [2]           -3x-3y=-12

Equations Simplified or Rearranged :

  [1]    y - 5x = -7

  [2]    -3y - 3x = -12

Graphic Representation of the Equations :

   -5x + y = -7        -3x - 3y = -12  

Solve by Substitution :

// Solve equation [1] for the variable  y  

 [1]    y = 5x - 7

// Plug this in for variable  y  in equation [2]

  [2]    -3•(5x-7) - 3x = -12

  [2]     - 18x = -33

// Solve equation [2] for the variable  x  

  [2]    18x = 33  

  [2]    x = 11/6  

// By now we know this much :

   y = 5x-7

   x = 11/6

// Use the  x  value to solve for  y  

   y = 5(11/6)-7 = 13/6  

Solution :

{y,x} = {13/6,11/6}

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq