The graph plots four equations, a, b, c, and d: line a joins ordered pair negative 6, 16 and 9, negative 4. line b joins ordered pair negative 2, 20 and 8, 0. line c joins ordered pair negative 7, negative 6 and 6, 20. line d joins ordered pair 7, 20 and 0, negative 7.

which pair of equations has (2, 12) as its solution? (4 points)

equation a and equation c
equation b and equation c
equation c and equation d
equation b and equation d

The pair of equations which has (2,12) as its solution is,

equation B and equation C.

Step-by-step explanation:

According to the question,

equation of line A is

                            or,

                            or,

                            or, 3y + 4x = 24 ------------------(1)

Now, the point (2, 12) doesn't satisfy (1). Hence, (2,12) is not a solution for the line A.

Equation of line B is,

                              or,

                              or,

                              or, y + 2x = 16  -----------------------------(2)

The point (2,12) is satisfied by (2). Hence, (2, 12) is a solution for line B.

Equation of line C is,

                              or,

                              or, y + 6 = 2x + 14

                              or. y - 2x = 8 -----------------------------------(3)

The point (2, 12) is satisfied by (3). Hence, (2 , 12) is a solution for the line C.

Equation of line D is,

                               or,

                               or, 7y - 140 = 27x - 189

                               or, 7y  - 27x = -49----------------------------------------(4)

The point (2, 12) is not satisfied by (4). hence, (2, 12) is not a solution of the line D

Hence, the pair of equations which has (2,12) as its solution is,

equation B and equation C.

answer: its the third option.

step-by-step explanation:

i just took the test.