Math_Geek

hello, i have 6 variables a=5 b=10 c=7 d=9 x=1 y=2 when i solve this equation using gauss-jordan it gives me wrong answer a⊕0⊕c⊕0⊕0⊕0=2 0⊕b⊕0⊕d⊕0⊕0=3 a⊕0⊕0⊕0⊕x⊕0=4 0⊕b⊕0⊕0⊕0⊕y=8 0⊕0⊕c⊕0⊕x⊕0=6 0⊕0⊕0⊕d⊕0⊕y=11 ⊕ is XOR thanks for your help