Question

when an equation in one variable is solved using a system of equations, the solution is always the dropdown of each intersection.

x-coordinate
y-coordinate

Explanation:

Analyze the relationship between a single-variable equation and a system of equations

An equation in one variable, such as \(f(x) = g(x)\), can be solved by setting up a system of equations:

$$
LATEXBLOCK0
$$

Determine the meaning of the intersection points

The intersection points of the graphs of these two equations are represented as coordinates \((x, y)\). Since the original equation \(f(x) = g(x)\) only contains the variable \(x\), the solutions to this equation correspond to the \(x\)-values of these intersection points.

Select the correct coordinate option

The solution to the original single-variable equation is always the \(x\)-coordinate of each intersection point.

Answer:

• x-coordinate (Correct answer)
• y-coordinate