alleryStart learning →Is the ordered pair (3, 2) a solution to the system 3x - y = 7 and x - 2y = 4?
AYes, it makes both equations true
BNo, it makes only the first equation true
CNo, it makes only the second equation true
DNo, it makes neither equation true
Answer & Solution
Correct answer: B. No, it makes only the first equation true
1. Substitute x = 3 and y = 2 into 3x - y = 7: 3(3) - 2 equals 9 minus 2, which equals 7, a true statement.
2. Substitute the same values into x - 2y = 4: 3 - 2(2) equals 3 minus 4, which equals -1, not 4, a false statement.
3. Since the pair fails the second equation, it is not a solution to the system, even though it satisfies the first.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 5 "Systems of Linear Equations", section 5.1 Solve Systems of Equations by Graphing_
Keep practising Systems of Linear Equations
Browse all Systems of Linear Equations questions for NY Regents Algebra I, or explore more Mathematics topics.
Related questions
Order the substitution stepsWhich ones belongComplete the classificationOne word is wrongWhat do the lines doThe perimeter of a rectangle is 40. The length is 4 more than the width. Find the length aThe sum of two numbers is 10. One number is 4 less than the other. Find the numbers.Devon is 26 years older than his son Cooper. The sum of their ages is 50. Find their ages.