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ACT Exam  >  ACT Questions  >  If x + 2y≤ 3, x > 0 and y > 0, then ... Start Learning for Free
If x + 2y ≤ 3, x > 0 and y > 0, then one of the solution is
  • a)
    x = -1, y = 2
  • b)
    x = 2, y = 1
  • c)
    x = 1, y = 1
  • d)
    x = 0, y = 0
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If x + 2y≤ 3, x > 0 and y > 0, then one of thesolution isa)x ...
Given 
x + 2y ≤ 3
x > 0 and y > 0
Calculation 
We need to satisfy the equation x + 2y ≤ 3 from the options 
Option: 1  x = -1 and y = 2 
This will be incorrect as we have x and y > 0 
In 1st option x is less than 0, so we can't take this 
Option: 2  x = 2, y = 1
2 + 2 ≤ 3 , which is incorrect.
Option: 3  x = 1, y = 1 
1 + 2 ≤  3 
3 ≤ 3, which is correct.
∴ The correct answer is x = 1, y = 1 
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Most Upvoted Answer
If x + 2y≤ 3, x > 0 and y > 0, then one of thesolution isa)x ...
Given Inequalities:
- x + 2y ≤ 3
- x > 0
- y > 0

Solution:

Step 1: Find the possible values of x and y
- From the inequality x + 2y ≤ 3, we can rearrange it to get x ≤ 3 - 2y.
- Since x > 0, we have 0 < x="" ≤="" 3="" -="" />
- Since y > 0, we can also say that y > 0.

Step 2: Determine the possible solutions
- Now, we need to find the values of x and y that satisfy the given conditions.
- Let's start by trying out the options:
- Option 'A': x = -1, y = 2
- Option 'B': x = 2, y = 1
- Option 'C': x = 1, y = 1
- Option 'D': x = 0, y = 0
- Checking each option:
- Option 'A': x = -1, y = 2
- x is not greater than 0, so this option is invalid.
- Option 'B': x = 2, y = 1
- x is greater than 0, but the inequality x + 2y ≤ 3 is not satisfied.
- Option 'C': x = 1, y = 1
- Both x and y are greater than 0, and x + 2y ≤ 3 is satisfied.
- Therefore, this option is a valid solution.
- Option 'D': x = 0, y = 0
- x is not greater than 0, so this option is invalid.

Conclusion:
- The correct solution is x = 1, y = 1, as it satisfies all the given conditions and the inequality.
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Community Answer
If x + 2y≤ 3, x > 0 and y > 0, then one of thesolution isa)x ...
Given 
x + 2y ≤ 3
x > 0 and y > 0
Calculation 
We need to satisfy the equation x + 2y ≤ 3 from the options 
Option: 1  x = -1 and y = 2 
This will be incorrect as we have x and y > 0 
In 1st option x is less than 0, so we can't take this 
Option: 2  x = 2, y = 1
2 + 2 ≤ 3 , which is incorrect.
Option: 3  x = 1, y = 1 
1 + 2 ≤  3 
3 ≤ 3, which is correct.
∴ The correct answer is x = 1, y = 1 
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If x + 2y≤ 3, x > 0 and y > 0, then one of thesolution isa)x = -1, y = 2b)x = 2, y = 1c)x = 1, y = 1d)x = 0, y = 0Correct answer is option 'C'. Can you explain this answer?
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If x + 2y≤ 3, x > 0 and y > 0, then one of thesolution isa)x = -1, y = 2b)x = 2, y = 1c)x = 1, y = 1d)x = 0, y = 0Correct answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about If x + 2y≤ 3, x > 0 and y > 0, then one of thesolution isa)x = -1, y = 2b)x = 2, y = 1c)x = 1, y = 1d)x = 0, y = 0Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x + 2y≤ 3, x > 0 and y > 0, then one of thesolution isa)x = -1, y = 2b)x = 2, y = 1c)x = 1, y = 1d)x = 0, y = 0Correct answer is option 'C'. Can you explain this answer?.
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