Questions: Solve 3x + 4y = 5 for y. y=

Solve 3x + 4y = 5 for y. y=
Transcript text: Solve $3 x+4 y=5$ for $y$. \[ y= \]
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Solution

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Solution Steps

To solve the equation \(3x + 4y = 5\) for \(y\), we need to isolate \(y\) on one side of the equation. This involves moving the term with \(x\) to the other side and then dividing by the coefficient of \(y\).

Step 1: Rearranging the Equation

We start with the equation \(3x + 4y = 5\). To isolate \(y\), we first move the term \(3x\) to the right side of the equation:

\[ 4y = 5 - 3x \]

Step 2: Solving for \(y\)

Next, we divide both sides of the equation by \(4\) to solve for \(y\):

\[ y = \frac{5 - 3x}{4} \]

Step 3: Simplifying the Expression

We can express the solution in a more concise form:

\[ y = \frac{5}{4} - \frac{3}{4}x \]

Final Answer

The solution for \(y\) in terms of \(x\) is

\[ \boxed{y = \frac{5}{4} - \frac{3}{4}x} \]

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