Questionsmale rombuber $$\begin{array}{l} \left\{\begin{array}{l} x+y=22 \\ x-y=46 \end{array}\right. \\ \left\{\begin{array}{l} y-x=22 \\ y-x=46 \end{array}\right. \\ \left\{\begin{array}{l} y+x=46 \\ y-x=22 \end{array}\right. \\ \left\{\begin{array}{l} x+y=46 \\ x-y=22 \end{array}\right. \end{array}$$

Studdy Solution
Simplify the equation:
$$2x = 68$$
Solve for $x$:
$$x = 34$$
Substitute $x = 34$ back into the first equation:
$$34 + y = 46$$
Solve for $y$:
$$y = 12$$
Check if the solution satisfies both equations:
$$x - y = 22 \rightarrow 34 - 12 = 22$$
The solution is consistent.
The correct systems that provide valid solutions are the third and fourth systems. The solutions are $(x, y) = (12, 34)$ for the third system and $(x, y) = (34, 12)$ for the fourth system.