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How many solutions does have?

Class 9Linear Equations in Two VariablesLinear Equations
  • A1
  • B2
  • C3
  • DInfinitely many

Step-by-Step Solution

A linear equation in two variables has infinitely many solutions, forming a straight line.
Answer: D) Infinitely many

Key idea: Finding solutions to a linear equation

Pick any value for one variable; solve for the other. Repeat to get many solutions.

Example: .
- Let → . So (0, 6) is a solution (this is the -intercept).
- Let → . So (2, 3) is a solution.
- Let → . So (4, 0) is a solution (this is the -intercept).
- Let → . Same as above.

Four solutions found in seconds, and infinitely more available.

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