alleryStart learning →Is the ordered pair (-4, -3) a solution to the system x - y = -1 and 2x - y = -5?
ANo, it only makes the first equation true
BNo, it only makes the second equation true
CYes, it makes both equations true
DNo, it makes neither equation true
Answer & Solution
Correct answer: C. Yes, it makes both equations true
1. Substitute x = -4 and y = -3 into x - y = -1: -4 minus -3 equals -1, a true statement.
2. Substitute the same values into 2x - y = -5: 2(-4) minus -3 equals -8 plus 3, which equals -5, also a true statement.
3. Since the pair makes both equations true, it is a solution to the system.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 5 "Systems of Linear Equations", section 5.1 Solve Systems of Equations by Graphing_
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