Solve the system: 2x + 3y = 12 and 1x – 1y = -4.
Note
Use elimination or substitution. The pair x = 0, y = 4 satisfies both equations: substituting gives 12 in the first equation and -4 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 = 0, y = 4, which matches the calculation or reasoning shown.
