If - 2x + 3 = 7 and 3x + 1 = 5+ y, the value of y is

The value for x is -2 and the value for y is -10 .

Step-by-step explanation:

Firstly , let's write the equations

solving equation 1 to get the values of x

          or ,    -2x+3=7          

      or,  -2x+3-3 =7-3 (subtracting -3 on both sides )

       or ,  -2x=4

        or,  -2x/2  =   4/2  (dividing  by two on both sides )

         or ,  -x =2

           or  x = -2

now let's substitute the values of x  in the equation 2

           3x+1 =5+y (writing second equation as it is )

           or, 3x+1-1=5+y-1 (subtracting  -1 on both sides )

            or , 3x = 4+y  

              or , 3 × -2 = 4+y  (substituting the values of x from equation 1 )

                or ,  -6  =  4 +y

                   or ,  -6-4 = 4+y-4 ( subtracting -4 on both sides  )

                     or ,    -10 = y

      Therefore the values of x and y is -2 and  -10 respectively .

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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