Question

directions: use this information to answer parts a and b.
complete the statements. explain how you figured out the answer.
part a
enter the correct answers in the boxes.
show hints
8(-5 + 7)=8(-5)+8(7)
8(2)=□+56 this means that 8(-5)=□.
16 = 16

Explanation:

Step1: Calculate \(8(-5)\)

We know that \(8(-5 + 7)=8(-5)+8(7)\). First, simplify the left - hand side: \(8(-5 + 7)=8\times2 = 16\). The right - hand side is \(8(-5)+8(7)\). Since \(8(7)=56\), we have the equation \(16=8(-5)+56\).
Let \(x = 8(-5)\), then the equation becomes \(16=x + 56\).

Step2: Solve for \(x\)

Using the subtraction property of equality, subtract 56 from both sides of the equation \(16=x + 56\).
\(x=16 - 56\)
\(x=-40\)

Answer:

The first box is \(-40\) and the second box is \(-40\)