Equation Solutions Quiz

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Questions and Answers

What is the solution of the equation 3(y + 8) = 10(y − 4) + 8?

  • 4 (correct)
  • -2
  • 12
  • -6

What is the solution of the equation 3x + 12 = 2x − 4?

  • -12
  • -8 (correct)
  • -16
  • 10

What is the solution of the equation x -9 x -5 5 =7?

  • -3
  • 4 (correct)
  • -7
  • -1

What is the solution of the equation 5(x − 3) = 3(x + 2)?

<p>5 (A)</p> Signup and view all the answers

What is the solution of the equation b+(b+1)+(b+2) 4 = 21?

<p>-3 (A)</p> Signup and view all the answers

Flashcards

Solution to 3(y + 8) = 10(y − 4) + 8

The value of 'y' that satisfies the equation 3(y + 8) = 10(y − 4) + 8.

Solution to 3x + 12 = 2x − 4

The value of 'x' that satisfies the equation 3x + 12 = 2x − 4.

Solution to x -9 x -5 5 =7

The value of 'x' that solve the equation x -9 x -5 5 =7.

Solution to 5(x − 3) = 3(x + 2)

The value of 'x' that satisfies the equation 5(x − 3) = 3(x + 2).

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Solution to b+(b+1)+(b+2) 4 = 21

The value of 'b' that satisfies the equation b+(b+1)+(b+2) 4 = 21.

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Study Notes

Linear Equations

  • To solve the equation 3(y + 8) = 10(y − 4) + 8, we need to isolate the variable y.
  • The solution of the equation 3x + 12 = 2x − 4 is found by adding 4 to both sides and then subtracting 2x from both sides, resulting in x = 8.
  • The equation x - 9 = 7 can be solved by adding 9 to both sides, resulting in x = 16.
  • The equation 5(x − 3) = 3(x + 2) can be solved by distributing the numbers and combining like terms, resulting in 2x = 19 and x = 19/2.
  • The equation b + (b + 1) + (b + 2) = 21 can be solved by combining like terms, resulting in 3b + 3 = 21, then subtracting 3 from both sides, and finally dividing by 3, resulting in b = 6.

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