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Help please the topic is about infinitely, no solution and one solution please help

Help please the topic is about infinitely, no solution and one solution please help-example-1

1 Answer

6 votes

Answer:

  • 3(x + 1) - 2x - 7 = x - 4

Explanation:

The equation has infinitely many solutions if LHS and RHS are same regardless the value of the variable.

Let's simplify the LHS and make sure it is same as RHS.

Let the missing numbers are a and b.

  • a(x + 1) - 2x - b = x - 4
  • ax - 2x + a - b = x - 4
  • (a - 2)x + (a - b) = x - 4

Find a and b:

  • a - 2 = 1 ⇒ a = 3
  • a - b = - 4 ⇒ 3 - b = - 4 ⇒ b = 7

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