Question

here is an equation.
\\( 5 - 5x = 0 \\)
draw a graph to help solve the equation. then find the solution to the equation.
solution: \\( x = \square \\)

Explanation:

Step1: Rewrite as linear function

Treat $5-5x=0$ as $y=5-5x$, find root where $y=0$.

Step2: Find intercepts for graph

• y-intercept: Set $x=0$, $y=5-5(0)=5$, so point $(0,5)$.
• x-intercept: Set $y=0$, $0=5-5x$.

Step3: Solve for x

Rearrange: $5x=5$ → $x=\frac{5}{5}=1$, so point $(1,0)$.

Step4: Graph the line

Plot $(0,5)$ and $(1,0)$, draw a line through them. The x-intercept $(1,0)$ is the solution.

Answer:

$x=1$