Answer:
13
Step-by-step explanation:
Given the 2 equations
x + 2y = 8 → (1)
- 2x + 3y = 5 → (2)
Rearrange (1) expressing x in terms of y by subtracting 2y from both sides
x = 8 - 2y → (3)
Substitute x = 8 - 2y into (2)
- 2(8 - 2y) + 3y = 5 ← distribute and simplify left side
- 16 + 4y + 3y = 5
- 16 + 7y = 5 ( add 16 to both sides )
7y = 21 ( divide both sides by 7 )
y = 3
Substitute y = 3 in (3) for corresponding value of x
x = 8 - 2(3) = 8 - 6 = 2
Thus x = 2 and y = 3
2x + 3y = 2(2) + 3(3) = 4 + 9 = 13
