Question

termine if an ordered pair is a solution to a syst
libianco
determine whether each given ordered pair is a
solution of each system.

1. ( x - y = 3 ) ( 2x - 3y = 5 ) ( (4, 1) )
2. ( 3x - y = -12 ) ( x - y = 0 ) ( (-3, 3) )

multiple-choice question
does this work?
no
yes
rewatch

Explanation:

Step1: Check first equation

Substitute \(x = 4\) and \(y = 1\) into \(x - y = 3\):
\(4 - 1 = 3\), which simplifies to \(3 = 3\) (true).

Step2: Check second equation

Substitute \(x = 4\) and \(y = 1\) into \(2x - 3y = 5\):
\(2(4) - 3(1) = 8 - 3 = 5\), which simplifies to \(5 = 5\) (true).

Answer:

Yes