Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 31, 2024

Solve the linear equation $y + 3x = 5$ for $y$ and $x$ .

STEP 1

Assumptions
1. We have a linear equation in two variables $y$ and $x$ .
2. The equation is $y + 3x = 5$ .
3. We need to solve for $y$ in terms of $x$ .

STEP 2

To solve for $y$ , we need to isolate $y$ on one side of the equation. We can do this by subtracting $3x$ from both sides of the equation.
$y + 3x - 3x = 5 - 3x$

STEP 3

Simplify the equation by combining like terms.
$y = 5 - 3x$
Now we have $y$ expressed in terms of $x$ .
The solution to the equation $y + 3x = 5$ in terms of $y$ is:
$y = 5 - 3x$

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