Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 18, 2023

Solve for $x$ in the equation $-z + y - x = \frac{5}{7}$ .

STEP 1

Assumptions1. The given equation is $-z + y - x = \frac{5}{7}$ . . We are asked to solve for $x$ .

STEP 2

We need to isolate $x$ on one side of the equation. We can do this by moving $-z$ and $y$ to the right side of the equation.
$-z + y - x = \frac{5}{7} \Rightarrow -x = \frac{5}{7} + z - y$

STEP 3

Now, we can multiply both sides of the equation by $-1$ to get $x$ by itself on one side of the equation.
$-x = \frac{5}{7} + z - y \Rightarrow x = -\frac{5}{7} - z + y$

STEP 4

We can rearrange the terms on the right side of the equation to make the solution more readable.
$x = y - z - \frac{}{7}$ So, the solution to the equation is $x = y - z - \frac{}{7}$ .

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