alleryStart learning →Solve the system by graphing: y = 6 and 2x + 3y = 12.
A(6, -3)
B(3, 6)
C(-3, -6)
D(-3, 6)
Answer & Solution
Correct answer: D. (-3, 6)
1. The first equation, y = 6, is a horizontal line whose y-intercept is 6.
2. Substitute y = 6 into the second equation: 2x plus 3(6) equals 12, so 2x plus 18 equals 12.
3. Subtract 18 from both sides: 2x equals -6, so x equals -3.
4. The lines intersect at (-3, 6), and checking confirms 2(-3) plus 3(6) equals -6 plus 18, which equals 12.
_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.