Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 08, 2023

Solve the linear equation $13x - 5y = 35$ for $x$ and $y$ .

STEP 1

Assumptions1. We are given a linear equation in two variables, $x$ and $y$ : $13x -5y =35$ . . The goal is to express $y$ in terms of $x$ .

STEP 2

First, we need to isolate $y$ on one side of the equation. We can do this by adding $5y$ to both sides of the equation.
$13x -5y +5y =35 +5y$

STEP 3

implify the equation.
$13x =35 +5y$

STEP 4

Now, we need to isolate $y$ on one side of the equation. We can do this by subtracting $35$ from both sides of the equation.
$13x -35 =y$

STEP 5

Finally, we can solve for $y$ by dividing both sides of the equation by $5$ .
$y = \frac{13x -35}{5}$ So, the solution to the equation $13x -5y =35$ is $y = \frac{13x -35}{5}$ .

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