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solve the equation. be sure to check your proposed solution by substitu…

Question

solve the equation. be sure to check your proposed solution by substituting it for the variable in the original equation.

(4y - 5 = 12y + 59)

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. there is one solution, (y =) (type an integer or a simplified fraction.)
b. the solution is all real numbers.
c. the equation has no solution.

Explanation:

Isolate the variable terms

$$ LATEXBLOCK0 $$

Isolate the constant terms

$$ LATEXBLOCK1 $$

Solve for y and verify

$$ LATEXBLOCK2 $$

Verification:

$$ LATEXBLOCK3 $$

Answer:

  • (A) There is one solution, y = -8 (Type an integer or a simplified fraction.) (Correct answer)
  • (B) The solution is all real numbers.
  • (C) The equation has no solution.