Solve for all values of y in simplest form. 63=|13-5y| Answer: y=

Given Equation: We are given the equation 63 = |13 - 5y|. To solve for y, we need to consider both the positive and negative scenarios of the absolute value.Positive Scenario: First, let's consider the positive scenario where 13 - 5y is positive or zero. We set up the equation without the absolute value: 63 = 13 - 5y Now, we solve for y by subtracting 13 from both sides: 63 - 13 = 5y 50 = 5y Next, we divide both sides by 5 to isolate y: y = 50 / 5 y = 10Negative Scenario: Next, let's consider the negative scenario where 13 - 5y is negative. In this case, the absolute value of a negative number is its positive counterpart, so we set up the equation as: 63 = -(13 - 5y) Now, we distribute the negative sign inside the parentheses: 63 = -13 + 5y Next, we add 13 to both sides to isolate the terms with y on one side: 63 + 13 = 5y 76 = 5y Finally, we divide both sides by 5 to solve for y: y = 76 / 5 y = 15.2

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Solve for all values of
y in simplest form.

63=|13-5y|
Answer:
y=

Solve for all values of $y$ in simplest form. $\newline$ $63=|13-5 y|$ $\newline$ Answer: $y=$

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Math Problems

Grade 8

Evaluate absolute value expressions

Full solution

Q. Solve for all values of

y

in simplest form.

\newline

63=|13-5 y|

\newline

Answer:

y=

Given Equation: We are given the equation $63 = |13 - 5y|$ . To solve for $y$ , we need to consider both the positive and negative scenarios of the absolute value.
Positive Scenario: First, let's consider the positive scenario where $13 - 5y$ is positive or zero. We set up the equation without the absolute value: $\newline$ $63 = 13 - 5y$ $\newline$ Now, we solve for $y$ by subtracting $13$ from both sides: $\newline$ $63 - 13 = 5y$ $\newline$ $50 = 5y$ $\newline$ Next, we divide both sides by $5$ to isolate $y$ : $\newline$ $y = 50 / 5$ $\newline$ $y = 10$
Negative Scenario: Next, let's consider the negative scenario where $13 - 5y$ is negative. In this case, the absolute value of a negative number is its positive counterpart, so we set up the equation as: $\newline$ $63 = -(13 - 5y)$ $\newline$ Now, we distribute the negative sign inside the parentheses: $\newline$ $63 = -13 + 5y$ $\newline$ Next, we add $13$ to both sides to isolate the terms with $y$ on one side: $\newline$ $63 + 13 = 5y$ $\newline$ $76 = 5y$ $\newline$ Finally, we divide both sides by $5$ to solve for $y$ : $\newline$ $y = 76 / 5$ $\newline$ $63 = -(13 - 5y)$ $0$