Which ordered pair is the solution to the system of linear equations y = negative 7 x + 2 and y = 9 x minus 14?

(1, - 5) is the solution of the system

Step-by-step explanation:

y = negative 7 x + 2 should be written as y = - 7x + 2, and

y = 9 x minus 14 as y = 9x - 14

Use elimination by substitution to solve this system. Equate the two equations together to eliminate y: y = 9x - 14 = - 7x + 2.

Combining like terms, we get 9x - 14 = - 7x + 2 = > 16x = 16

Dividing both sides by 16 yields x = 1.

Substituting 1 for x in the first equation yields the corresponding y-value:

y = - 7 (1) + 2 = - 5

Thus, the ordered pair (1, - 5) is the solution of the system.