Question

Determine whether each ordered pair is a solution of the given linear equation.

4x+3y=11; (2,1),(6,0),(0,1)

is (2,1) a solution to the given linear equation? yes or no?

is (6,0) a solution to the given linear equation? yes or no?

is (0,1) a solution to the given linear equation? yes or no?


Please help me. ​

Answer 1

(2,1) is the only solution to the linear equation

Explanation:

to solve, just plug in the values given into the orignal expression. remember, the answer on the left has to be equal to the answer on the right.

(2,1)

4(2) + 3(1) = 11 --> 8 + 3 = 11 --> 11 = 11 (2,1) is a solution to the linear equation

(6,0)

4(6) + 3(0) = 11 --> 24 + 0 = 11 --> 24 ≠ 11 (6,0) is not a solution to the linear equation

(0,1)

4(0) + 3(1) = 11 --> 0 + 3 = 11 --> 3 ≠ 11 (0,1) is not a solution to the linear equation