Question

Which statement about the ordered pairs (3, −8) and (4, 4) is true for the equation 3x−y4=11 ?

1. Neither ordered pair is a solution.

2. (3, −8) is a solution to the equation but not (4, 4) .

3. Both ordered pairs are solutions.

4. (4,  4) is a solution to the equation but not (3, −8) .

Answer 1

Statement 1

Explanation:

A solution to an equation is a value or pair/list of values for which the equation is true. To find if it is true, substitute the value and simplify the equation. For the equation, 3x-4y=11

(3,-8)

x=3 y=-8

3(3)-4(-8)=11

9+32=11

41=11 FALSE

(4,4)

x=4 y=4

3(4)-4(4)=11

12-16=11

4=11 FALSE

Neither is a solution. Statement 1 is correct.