Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

two step equations score: 0/2 penalty: none question solve for y. $-dfr…

Question

two step equations
score: 0/2 penalty: none
question
solve for y.
$-dfrac{y}{5} + 4 = 14$
answer attempt 2 out of 2.
y = 30
submit answer

Explanation:

Step1: Subtract 4 from both sides

To isolate the term with \( y \), we subtract 4 from both sides of the equation \(-\frac{y}{5} + 4 = 14\).
\[
-\frac{y}{5}+4 - 4=14 - 4
\]
Simplifying both sides, we get:
\[
-\frac{y}{5}=10
\]

Step2: Multiply both sides by -5

To solve for \( y \), we multiply both sides of the equation \(-\frac{y}{5}=10\) by -5.
\[
-\frac{y}{5}\times(- 5)=10\times(-5)
\]
Simplifying both sides, we find:
\[
y = - 50
\]

Answer:

\( y = -50 \)