Subjects algebra

Equal Ordered Pairs Efdd97

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **Problem statement:** Given two equal ordered pairs, find the values of $x$ and $y$. 2. **Understanding ordered pairs:** Two ordered pairs $(a,b)$ and $(c,d)$ are equal if and only if their corresponding components are equal, i.e., $a = c$ and $b = d$. 3. **Formula and rule:** If $(x_1, y_1) = (x_2, y_2)$, then $x_1 = x_2$ and $y_1 = y_2$. 4. **Apply the rule:** Suppose the two equal ordered pairs are $(x, y)$ and $(m, n)$. 5. **Set up equations:** From equality, we get: $$x = m$$ $$y = n$$ 6. **Solve for $x$ and $y$:** The values of $x$ and $y$ are simply the corresponding components of the second ordered pair. 7. **Summary:** To find $x$ and $y$, equate the first components and the second components of the two ordered pairs and solve the resulting equations. This method works for any two equal ordered pairs.