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In Mathematics / College | 2025-07-04

Find the value of the variable $y$ in the equation $-5.7+y=8.2$
A) -2.5
B) 13.9
C) -13.9
D) 2.5

Asked by ycdkam

Answer (2)

Add 5.7 to both sides of the equation − 5.7 + y = 8.2 .
Simplify the equation to isolate y : y = 8.2 + 5.7 .
Calculate the sum: y = 13.9 .
The value of y is 13.9 ​ .

Explanation

Understanding the Problem We are given the equation − 5.7 + y = 8.2 and we want to find the value of y .

Isolating y To isolate y , we need to add 5.7 to both sides of the equation: − 5.7 + y + 5.7 = 8.2 + 5.7 y = 8.2 + 5.7

Calculating the Value of y Now, we simply add 8.2 and 5.7 :
y = 13.9

Final Answer Therefore, the value of y is 13.9 .


Examples
Imagine you are tracking your expenses. You started with a debt of $5.7 (represented as -5.7). After some time, you have a total of $8.2 in your account. The equation -5.7 + y = 8.2 helps you calculate how much money you earned (y) during that time to reach $8.2 from your initial debt. Solving this equation gives you the amount of income you made to reach your current balance.

Answered by GinnyAnswer | 2025-07-05

The value of the variable y in the equation − 5.7 + y = 8.2 is 13.9 . Therefore, the chosen option is B) 13.9.
;

Answered by Anonymous | 2025-07-07

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