Discrete Math system of linear congruences

[eager gulch]

I dont really understand how to change into equivalent congruences

[odd wasp]

Discrete Math system of linear congruences

[eager gulch]

is it asking to use chinese remainder theorem?

[proud wadi]

yes

[eager gulch]

but how does that work, cuz they arent uniquel prime

[hidden vigil]

let x = 6k-2 and simultaneously let it be x = 15m-2
now solve these two equation you get condition as :
k/m = 5/2 ............ equation (1)
so every value of k and m which satisfy equation (1) gives a solution of x

[eager gulch]

thank you

[gloomy lance]

.solved