SAT Math

Category - Algebra and Functions

Find the intersection point of lines x/4 − y/3 = 1 and 2x − 3y − 7 = 0.
  1. (3,8)
  2. (8,3)
  3. ( − 3,8)
  4. ( − 8,3)
  5. (2,7)
Explanation
Answer: B - The intersection point is (8,3). The intersection point lies on both lines and its coordinates satisfy the equations of both lines.
(8,3)⟹x = 8,y = 3
x/4 − y/3 = 1
8/4 − 3/3 = 1
2 − 1 = 1
1 = 1 T
2x − 3y − 7 = 0
2 × 8 − 3 × 3 − 7 = 0
16 − 9 − 7 = 0
7 − 7 = 0
0 = 0 T

Since (8,3) satisfies the equations of both lines, it is an intersection point.
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