Question

Solve: 37x + 41y = 70
41x + 37y = 86​

Answer 1

Explanation:

37x + 41y = 70 --- R¹

41x + 37y = 86 --- R²

R¹ + R² : 78x + 78y = 156

78(x + y) = 156

x + y = 2 --- R³

R¹ - R² : -4x + 4y = -16

4(y - x) = -16

y - x = -4 --- R⁴

R³ + R⁴ : 2y = -2

y = -1

R³ - R⁴ : -2x = -6

x = 3