Choose the equivalent system of linear equations that will produce the same solution as the one given below.

4x − 2y = 6
2x + y = 5

−4x − 2y = 10
−4y = 4

−4x − 5y = −1
−7y = 5

3x + 2y = 6
7x = 12

4x + 2y = 10
8x = 16

The  equivalent system of linear equations that will produce the same solution is:

4x + 2y = 10

8x = 16

Step-by-step explanation:

firstly we solve the system of equations:

4x − 2y = 6    -(1)

2x + y = 5     -(2)

equation (2) multiply by 2 and adding both equations

4x-2y+4x+2y=6+10

8x=16

equation (2) multiply by 2 equals:

4x+2y=10

Hence, the  equivalent system of linear equations that will produce the same solution is:

4x + 2y = 10

8x = 16

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