Question

x+y=320
x-y=146

8y+6x=94
3y-2x=14

y+x=24
8x+13y=257

Answer 1

$x + y = 320 \\ x - y = 146 \\ \\ y = 320 - x \\ x - (320 - x) = 146 \\ x - 320 + x = 146 \\ 2x - 320 = 146 \\ 2x = 146 + 320 \\ 2x = 466 \\ x = 466 \div 2 \\ x = 233$

pasamos al otro lado

$y = 320 - x \\ y = 320 - 233 \\ y = 87$

Respuesta 1: x= 233 y= 87

$3y - 2x = 14 \\ - 2x = 14 - 3y \\ x = - 7+ 3y \div 2 \\ \\ 8y + 6x = 94 \\ 8y + 6( - 7 +3y \div 2) = 94 \\ 8y - 42 + 9y = 94 \\ 17y - 42 = 94 \\ 17y = 94 + 42 \\ 17y = 136 \\ y = 136 \div 17 \\ y = 8 \\ \\ x = - 7 + 3y \div 2 \\ x = - 7 + 3(8) \div 2 \\ x = - 7 + 24 \div 2 \\ x = - 7 + 12 \\ x = 5$

Respuesta: x= 5 y= 8

$y+x=24 \\ 8x+13y=257 \\ \\ x = 24 - y \\ 8x+13y=257 \\ 8(24 - y)+13y=257 \\ 192 - 8y + 13y = 257 \\ 5y = 257 - 192 \\ 5y = 65 \\ y = 13 \\ \\ x = 24 - 13 \\ x = 11$

Respuesta: x= 11 y= 13

espero haberte ayudado :3

Answer 2

$x + y = 320 \\ x - y = 146 \\ \\ y = 320 - x \\ x - (320 - x) = 146 \\ x - 320 + x = 146 \\ 2x - 320 = 146 \\ 2x = 146 + 320 \\ 2x = 466 \\ x = 466 \div 2 \\ x = 233$

pasamos al otro lado

$y = 320 - x \\ y = 320 - 233 \\ y = 87$

Respuesta 1: x= 233 y= 87

$3y - 2x = 14 \\ - 2x = 14 - 3y \\ x = - 7+ 3y \div 2 \\ \\ 8y + 6x = 94 \\ 8y + 6( - 7 +3y \div 2) = 94 \\ 8y - 42 + 9y = 94 \\ 17y - 42 = 94 \\ 17y = 94 + 42 \\ 17y = 136 \\ y = 136 \div 17 \\ y = 8 \\ \\ x = - 7 + 3y \div 2 \\ x = - 7 + 3(8) \div 2 \\ x = - 7 + 24 \div 2 \\ x = - 7 + 12 \\ x = 5$

Respuesta: x= 5 y= 8

$y+x=24 \\ 8x+13y=257 \\ \\ x = 24 - y \\ 8x+13y=257 \\ 8(24 - y)+13y=257 \\ 192 - 8y + 13y = 257 \\ 5y = 257 - 192 \\ 5y = 65 \\ y = 13 \\ \\ x = 24 - 13 \\ x = 11$

Respuesta: x= 11 y= 13

espero haberte ayudado :3