Multiple choice

Solve the following pair of equations: $41x + 53y = 135$, $53x + 41y = 147$

  1. $x = -4 ; y = 2$
  2. $x = 2 ; y = 1$
  3. $x = \dfrac{2}{5} ; y = 3$
  4. $x = -1 ; y = 1$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Adding the equations: 94x + 94y = 282, so x + y = 3. Subtracting: -12x + 12y = -12, so -x + y = -1. Adding these two results: 2y = 2, y = 1. Then x = 2.

AI explanation

Adding the two equations gives 94x + 94y = 282, which simplifies to x + y = 3. Subtracting the first equation from the second gives 12x - 12y = 12, which simplifies to x - y = 1. Solving this simpler system yields x = 2 and y = 1. The values are x = 2 and y = 1.

Keep practicing — related questions