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Mathematics
Shania Collins
14 August, 21:46
5 х + 12y - 10 = 0
2x - 3y + 35 = 0
+5
Answers (
1
)
Hadassah Alexander
15 August, 01:37
0
( - 10, 5)
Step-by-step explanation:
Given the 2 equations
5x + 12y - 10 = 0 (add 10 to both sides)
5x + 12y = 10 → (1)
2x - 3y + 35 = 0 (subtract 35 from both sides)
2x - 3y = - 35 → (2)
Multiplying (2) by 4 and adding to (1) will eliminate the y - term
8x - 12 y = - 140 (3)
Add (1) and (3) term by term
5x + 8x + 12y - 12y = 10 - 140, that is
13x = - 130 (divide both sides by 13)
x = - 10
Substitute x = - 10 into either (1) or (2) and solve for y
Substituting in (1)
5 ( - 10) + 12y = 10
- 50 + 12y = 10 (add 50 to both sides)
12y = 60 (divide both sides by 12)
y = 5
Solution is ( - 10, 5)
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