The process of identifying ordered pair solutions necessitates the resolution of equations that involve two variables, commonly denoted as x and y. The primary objective is to determine the specific values that render the equation accurate. The resulting solution is represented as an ordered pair, denoted as (x, y). Various methods such as graphing, substitution, and elimination are employed to accomplish this, particularly in the context of linear equations and systems of equations.
| Topic | Problem | Solution |
|---|---|---|
| None | (2) For the rule $y=3 x-4$, find the value of $y$… | We are given a linear equation \(y=3x-4\) and we need to find the value of \(y\) for \(x=2\) and \(… |
| None | QUESTION 4 Determine whether the given ordered pa… | \( x - y = 4 \) |
| None | Does \( (-147,21) \) make the equation \( y=-49 x… | Step 1: Substitute \(-147, 21\) into the equation: \(21 = -49(-147) + 882\) |
| None | Does \( (-44,18) \) make the equation \( y=x--62 … | Substitute: \( 18=(-44)--62 \) |
| None | Is \( (-7,0) \) a solution to the equation \( y=5… | Substitute \((-7, 0)\) into the equation \(y = 5x - 7\) |
| None | Is \( (-12,12) \) a solution to the equation \( y… | Plug x and y from point into equation: \( 12 = -12 \) |