Question

solve the following simultaneous equations using simultaneous method : 3x+y/5=1, x+y/3=3​

Answer 1

Step-by-step explanation:

1)

$\frac{3x + y}{5} = 1 \\ multiply \: by \: 5 \: on \: both \:s ide \: we \: get\\ 3x + y = 5 \: \: \: \: \: \: \: \: \: \: \: \: \: equ(1) \\ \frac{x + y}{3} = 3 \\ multiply \: by \: 3on \: both \: side \:we \: get \\ x + y = 9 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: equ(2) \\ substract \: equation \: (2)from(1) \\ 3x + y = 5 \\ x + y = 9 \\ = 2x = - 4 \\ x = - 2 \\ substitute \: x = - 2 \: in \: equation \: (1) \\ 3x + y = 5 \\ 3( - 2) + y = 5 \\ - 6 + y = 5 \\ y = 5 + 6 \\ y = 11$