Evaluate each expression for the given value of the variable. (5(2k - 3) - 3(k + 4))/(3k + 2); k= -2

Question

Evaluate each expression for the given value of the variable.


`(5(2k - 3) - 3(k + 4))/(3k + 2)`; k= -2

Answer 1

`(5(2k - 3)-3(k + 4))/(3k+2)`

• Substitute -2 for k into the expression.

`(5[2(-2) - 3]-3[(-2) + 4])/(3(-2)+2)`

• 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.

`(5(-4 - 3) - 3(2))/(-6+2)`

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

`(5(-7) - 3(2))/(-4)`

• Multiply 5 * (-7) and 3 * (2).

`((-35) - (6))/(-4)`

• Subtract -35 and 6.

`((-41))/(-4)`

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

Your answer is 41/4.