Question

x-y=5,50x+100y=2000 Substitution I method​

Answer 1

Answer:

x - y =5

x= 5+y

50x - 100y = 2000

50 (5+y) - 100y = 2000

250 + 50y - 100y = 2000

-50y = 1750

y = 1750/-50

y = 35

then, x= 5+35=40

Answer 2

x-y = 5 -------(1)

50x+100y = 2000 ------(2)

From (1),

x-y=5

x = y+5 ------(3)

Substitute eq (3) in eq (2),

$50x + 100y = 2000 \\ 50(y + 5) + 100y = 2000 \\ 50y + 250 + 100y = 2000 \\ 150y = 2000 - 250 \\ 150y = 1750 \\ 15y = 175 \\ y = \frac{175}{15} \\ y = \frac{32}{3} \\ \\ x = y + 5 \\ x = \frac{32}{3} + 5 \\ x = \frac{32 + 15}{ 3} \\ x = \frac{47}{3} \\ \\ \\ \\ \\ x = \frac{47}{3} \\ y = \frac{32}{3}$