Question

1/5(x-2)=1/4(1-y)
26x+3y+4=0​

Answer 1

Step-by-step explanation:

$\frac{1}{5} (x - 2) = \frac{1}{4} (1 - y) \\ \frac{x - 2}{5} = \frac{1 - y}{4} \\ 4x - 8 = 5 - 5y \\ 4x + 5y = 5 + 8 \\ 4x + 5y = 13 \: \: \: \: \: equ \: (1) \\ \\ 26x + 3y = - 4 \: \: \: \: equ \: (2) \\ multiply \: equ \: (1) \: with \: 3\\ 12x + 15y = 39 \: \: \: equ \: (3) \\ \\ multiply \: equ \: (2) \: with \: 5 \\ 130x + 15y = - 20 \: \: \: equ \: (4)\\ \\ subtract \: (4) - (3) \\ 118x = - 59 \\ x = \frac{ - 59}{118} \\ x = - \frac{1}{2} \\ \\ substitute \: x \: = - \frac{1}{2} in \: equ \: (1) \\ 4( - \frac{1}{2} )+ 5y = 13 \\ - 2 + 5y = 13 \\ 5y = 13 + 2 \\ 5y = 15 \\ y = \frac{15}{5} \\ y = 3$

x = -1/2 y = 3

verification

$\frac{x - 2}{5} = \frac{1 - y}{4} \\ \frac{ - \frac{1}{2} - 2}{5} = \frac{1 - 3}{4} \\ \frac{ \frac{ - 5}{2} }{5} = \frac{ - 2}{4} \\ \frac{ - 5}{10} = - \frac{2}{4} \\ - \frac{1}{2} = - \frac{1}{2}$

hope you get your answer