Question

calcula y-x en 14(x+3)+1(y-3)=15 8(x+3)-3(y-3)=5

Answer 1

solucion

14(x+3)+1(y-3)=15
8(x+3)-3(y-3)=5

14x+42+y-3=15
8x+24-3y+9=5

14x+y=-24
8x-3y=-28

metodo de igualacion
despejamos x de ambas ecuaciones

14x+y=-24
x=(-24-y)/14

8x-3y=-28
x=(-28+3y)/8

ahora igualamos

(-24-y)/14=(-28+3y)/8
8(-24-y)=14(-28+3y)
-192-8y=-392+42y
-8y-42y=-392+192
-50y=-200
y=-200/-50
y=4

ahora hallamos x

x=(-24-y)/14
x=(-24-4)/14
x=-28/14
x=-2

x=-2
y=4

entinces
y-x=
4-(-2)=
4+2=
6


saludos