(O) plar 1 True or false: \( x=2, y=1 \) is the solution for both \( x+4 y=6 \) and \( y=-5 x+11 \). (A) true (B) false SHOW HINT

Let's check the equations with the given values. For the first equation \( x + 4y = 6 \), substituting \( x = 2 \) and \( y = 1 \) gives \( 2 + 4(1) = 6 \), which is correct. Now for the second equation \( y = -5x + 11 \), substituting the same values gives \( 1 = -5(2) + 11 \) or \( 1 = -10 + 11 \), which is also correct! So, the answer is (A) true. Now, a fun little fact: systems of equations are like a puzzle where the solution gives you the perfect coordinates to find the treasure! They are used not just in math class but also in real-life scenarios like planning budgets, determining the best route for delivery services, or even in game design for character movements!