Solve the system: 1x + 2y = 9 and 2x – 3y = -31.
Note
Use elimination or substitution. The pair x = -5, y = 7 satisfies both equations: substituting gives 9 in the first equation and -31 in the second. A solution of simultaneous equations is one ordered pair that makes both equations true at the same time. Substitution is a reliable check because it tests the chosen x and y values directly in each equation. If even one equation does not balance, the pair is not the solution. The correct answer is x = -5, y = 7, which matches the calculation or reasoning shown.
