Respuesta :

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[tex] \frac{5(2k - 3)-3(k + 4)}{3k+2} [/tex]

  • Substitute -2 for k into the expression.

[tex] \frac{5[2(-2) - 3]-3[(-2) + 4]}{3(-2)+2} [/tex]

  • Solve inside the parentheses first.
  • Multiply 2 * (-2) in the first parentheses, and add (-2) + 4 in the second parentheses. Multiply 3 * (-2) on the bottom.

[tex] \frac{5(-4 - 3) - 3(2)}{-6+2} [/tex]

  • Solve inside the first parentheses.
  • Add -6 + 2.

[tex] \frac{5(-7) - 3(2)}{-4} [/tex]

  • Multiply 5 * (-7) and 3 * (2).

[tex] \frac{(-35) - (6)}{-4} [/tex]

  • Subtract -35 and 6.

[tex] \frac{(-41)}{-4} [/tex]

  • -41/-4 is the same as 41/4, and 41/4 cannot be simplified further, so:

Your answer is 41/4.

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