Step-by-step explanation:
x+2y = 10 ...1
-x+y = 2 ...2
...1 + ...2
x+2y+(-x+y) = 10 + 2
3y = 12
y = 12/3
= 4
Replace y = 4 in ...1
x + 2(4) = 10
x + 8 = 10
x = 10 - 8
= 2
(x,y) = (2,4)
Answer:
(2, 4 )
Step-by-step explanation:
Given the 2 equations
x + 2y = 10 → (1)
- x + y = 2 → (2)
Rearrange (1) expressing x in terms of y by subtracting 2y from both sides
x = 10 - 2y → (3)
Substitute x = 10 - 2y into (2)
- (10 - 2y) + y = 2
- 10 + 2y + y = 2
- 10 + 3y = 2 ( add 10 to both sides )
3y = 12 ( divide both sides by 3 )
y = 4
Substitute y = 4 into (3) for corresponding value of x
x = 10 - 2(4) = 10 - 8 = 2
solution is (2, 4 )
