Which ordered pair (a, b) is a solution to the given system of linear equations? - 2a+3b=14

a-4b=3

Personally, I like to solve systems of equations using substitution. Start by solving for "a" in the second equation (just because it'll be the easiest).

a - 4b = 3

a = 3 + 4b

Now, it is possible to write "3 + 4b" where you say "a" in the first equation. Solve for "b."

-2 (3 + 4b) + 3b = 14

-6 - 8b + 3b = 14

-6 - 5b = 14

-5b = 20

b = - 4

Finally, plug this answer in to either equation to solve for "a."

a - 4 (-4) = 3

a + 16 = 3

a = - 13

The answers are b = - 4 and a = - 13.