MATH SOLVE

4 months ago

Q:
# Which statements are true about the ordered pair (2, 3) and the system of equations?3x+4y=182x−2y=2Select each correct answer.When (2, 3) is substituted into the first equation, the equation is false.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 true.When (2, 3) is substituted into the first equation, the equation is true.The ordered pair (2, 3) is not a solution to the system of linear equations.When (2, 3) is substituted into the second equation, the equation is false.

Accepted Solution

A:

The true statements are:

-When (2, 3) is substituted into the first equation, the equation is true. Indeed, 3(2)+4(3) = 6+12 = 18.

-The ordered pair (2, 3) is not a solution to the system of linear equations. The second equation is false when (2,3). 2(2)-2(3) = 4-6 = -2. -2 does not equal 2, so the equation is false.

-When (2, 3) is substituted into the second equation, the equation is false. 2(2)-2(3) = 4-6 = -2. -2 does not equal 2, so the equation is false.

-When (2, 3) is substituted into the first equation, the equation is true. Indeed, 3(2)+4(3) = 6+12 = 18.

-The ordered pair (2, 3) is not a solution to the system of linear equations. The second equation is false when (2,3). 2(2)-2(3) = 4-6 = -2. -2 does not equal 2, so the equation is false.

-When (2, 3) is substituted into the second equation, the equation is false. 2(2)-2(3) = 4-6 = -2. -2 does not equal 2, so the equation is false.