Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Given the equation

[tex]x + y = 8[/tex]

Let [tex]x = -1[/tex]. What is [tex]y[/tex]?

Enter the correct answer.


Sagot :

To solve the equation [tex]\( x + y = 8 \)[/tex] for [tex]\( y \)[/tex] given that [tex]\( x = -1 \)[/tex], follow these steps:

1. Substitute [tex]\( x = -1 \)[/tex] into the equation [tex]\( x + y = 8 \)[/tex]:
[tex]\[ -1 + y = 8 \][/tex]

2. To isolate [tex]\( y \)[/tex], add 1 to both sides of the equation:
[tex]\[ -1 + y + 1 = 8 + 1 \][/tex]

3. Simplify the left side of the equation:
[tex]\[ y = 8 + 1 \][/tex]

4. Perform the addition on the right side:
[tex]\[ y = 9 \][/tex]

Therefore, the value of [tex]\( y \)[/tex] is [tex]\( 9 \)[/tex].