Answer: (4, 3).
- A (4, 3)
- B (3, 4)
- C (8, 0)
- D (0, 6)
Correct answer: A. (4, 3)
Explanation: Solve 3x+4y=24 and x+y=7 together: from the second, y=7-x. Substitute: 3x+4(7-x)=24, 3x+28-4x=24, -x=-4, x=4, y=3. Intersection: (4,3).
One-variable inequalities use open (excluded) or closed (included) circles on a number line; two-variable inequalities use a dashed (strict) or solid (non-strict) boundary line, with the solution being the entire shaded half-plane on one side of it.
Concept context
Solving linear inequalities in one and two variables algebraically and graphically, and representing solutions on a number line or as a region in a plane.