Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Type the integer that makes the following addition sentence true:

[tex]\[ \square + (-8) = -6 \][/tex]


Sagot :

To solve the equation [tex]\( \square + (-8) = -6 \)[/tex], we need to find the integer that makes this addition sentence true. Let's break it down step-by-step:

1. Let the unknown integer be [tex]\( x \)[/tex]. Our original equation then becomes [tex]\( x + (-8) = -6 \)[/tex].

2. To isolate [tex]\( x \)[/tex] on one side of the equation, we add [tex]\( 8 \)[/tex] to both sides:

[tex]\[ x + (-8) + 8 = -6 + 8 \][/tex]

3. Simplifying this, on the left side, [tex]\(-8 + 8\)[/tex] cancels out and becomes [tex]\( 0 \)[/tex], leaving us with:

[tex]\[ x = -6 + 8 \][/tex]

4. Next, we perform the addition on the right side:

[tex]\[ -6 + 8 = 2 \][/tex]

Therefore, the integer that makes the addition sentence [tex]\( \square + (-8) = -6 \)[/tex] true is [tex]\( 2 \)[/tex].