In the elimination method we:

The **elimination method** is a strategy for solving systems of linear equations. The primary objective is to 'eliminate' one of the variables ($x$ or $y$) so that you are left with a single equation containing only one variable. ### How it works: 1. **Standard Form:** Ensure both equations are in the form $Ax + By = C$. 2. **Align Coefficients:** Multiply one or both equations by a constant so that the coefficients of one variable are either the same or opposite. For example, if you have $2x$ in the first equation, you might multiply the second equation to get $-2x$. 3. **Add or Subtract:** - If the coefficients are opposites (e.g., $3y$ and $-3y$), **add** the equations. - If the coefficients are the same (e.g., $5x$ and $5x$), **subtract** the equations. 4. **Solve:** Solve the resulting single-variable equation, then substitute that value back into one of the original equations to find the second variable. **Example:** Given: 1) $x + y = 10$ 2) $x - y = 2$ Adding them eliminates $y$: $(x + x) + (y - y) = 10 + 2$ $2x = 12$ $x = 6$ Since we manipulate the equations through multiplication to create this cancellation, the correct option is **Multiply equations so one variable cancels on add/subtract**.