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: Rearrange the equation

To solve \(5 - 5x = 0\), we can first add \(5x\) to both sides of the equation.
\(5 - 5x + 5x = 0 + 5x\)
Simplifying, we get \(5 = 5x\).

Step2: Solve for \(x\)

Now, divide both sides of the equation \(5 = 5x\) by 5.
\(\frac{5}{5}=\frac{5x}{5}\)
Simplifying, we find that \(x = 1\).

(For the graphing part, we can consider the function \(y = 5 - 5x\). To graph it, we can find two points. When \(x = 0\), \(y = 5 - 5(0)=5\), so the point \((0, 5)\) is on the line. When \(y = 0\), \(0 = 5 - 5x\), which gives \(x = 1\), so the point \((1, 0)\) is on the line. Plot these two points and draw a line through them. The \(x\)-intercept of this line (where \(y = 0\)) is at \(x = 1\), which is the solution to the equation \(5 - 5x = 0\).)

Answer:

\(x = 1\)