Question

Which statements are true about the ordered pair (2, 3) and the system of equations?

3x+4y=18
2x−2y=2

Select each correct answer.

The ordered pair (2, 3) is not a solution to the system of linear equations.
-When (2, 3) is substituted into the first equation, the equation is false.
- When (2, 3) is substituted into the first equation, the equation is true.
-When (2, 3) is substituted into the second equation, the equation is true.
-The ordered pair (2, 3) is a solution to the system of linear equations.
- When (2, 3) is substituted into the second equation, the equation is false.

Answer 1

substitute the ordered pair (2, 3 ) into the 2 equations

(3 × 2 ) + (4 × 3 ) = 6 + 12 = 18 → True

(2 × 2 ) - (2 × 3 ) = 4 - 6 = - 2 → False

Hence the ordered pair (2, 3 ) is not a solution to the system of linear equations.

When (2, 3 ) is substituted into the first equation, the equation is true.

When (2, 3 ) is substituted into the second equation, the equation is false.