Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 5 → (1)
3x + 2y = 5 → (2)
We can eliminate the term in x by multiplying (1) by 3 and (2) by - 2
6x + 9y = 15 → (3)
- 6x - 4y = - 10 → (4)
Add (3) and (4) term by term
(6x - 6x) + (9y - 4y) = (15 - 10), that is
5y = 5 ( divide both sides by 5 )
y = 1
Substitute y = 1 in either (1) or (2) and solve for x
Substituting in (1), then
2x + (3 × 1) = 5
2x + 3 = 5 ( subtract 3 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Solution is (1, 1 )
