לפתור את המערכת: x + y = 4, 2x-y = 5?

תשובה:

y = 1

x = 3

הסבר:

# x + y = 4 # --- (1)

# 2x-y = 5 # --- (2)

מ - 1),

# x + y = 4 #

# x = 4-y # --- (3)

תת (3) לתוך (2)

# 2x-y = 5 #

# 2 (4-y) - i = 5 #

# 8-2y-y = 5 #

# 8-3y = 5 #

# 3 = 3y #

# y = 1 # --- (4)

תת (4) לתוך (3)

# x = 4-y #

# x = 4-1 #

# x = 3 #