Question

solve 4x+y=34;x+4y=16​

Answer 1

4x+y=34 -1

x+4y =16 -2

multiple eq 2by4and 1by 1

4x+y=34 -3

4x +16y=64 -4

subtractingeq3and4

4x+y=34

4x+16y=64

we get-15y=-30

y=2

put value in eq 1

4x+y=34

4x+2=34

4x=32

x=32/4

x =8

please follow me

Answer 2

$4x + y = 34 \: \: \: \: ...(1) \\ x + 4y = 16 \: \: \: \: ...(2) \\ \\ multiplying \: (2) \: by \: 4 \\ \\ 4x + 16y = 64 \: \: \: \: ...(3) \\ \\ subtracting \: eqn \: (1) \: from \: (3) \\ \\ 4x + 16y = 64 \\ 4x + y = 34 \\ - - - - - - - \\ 15y = 30 \\ y = 2 \\ \\ substitute \: value \: of \: y \: in \: (1) \\ 4x + 2 = 34 \\ x = \frac{32}{4} \\ x = 8$