Question

Solve the following system of equations using the elimination method.

2x+y=3.5
2
𝑥
+
𝑦
=
3.5
, −x+2y=2.5
−
𝑥
+
2
𝑦
=
2.5

(1 point)
(,)

Answer 1

2x + y = 3.5
−x + 2y = 2.5

Multiply the second equation by 2: −2x + 4y = 5.
Add to the first: (2x + y) + (−2x + 4y) = 3.5 + 5 → 5y = 8.5 → y = 1.7 (17/10).

Substitute y into 2x + y = 3.5: 2x + 1.7 = 3.5 → 2x = 1.8 → x = 0.9 (9/10).

Solution: (0.9, 1.7) or (9/10, 17/10).