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Let E1, E2 are two linear equations in two variables x and y. (0, 1) is a solution for both the equations E1 & E2. (2, -1) is a solution of equation E1 only and (-2, -1) is a solution of equation E2 only then E1, E2 are ______.
  • a)
    x = 0, y = 1
  • b)
    2x – y = -1, 4x + y = 1
  • c)
    x + y = 1, x – y = -1
  • d)
    x + 2y = 2, x + y = 1
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Let E1, E2 are two linear equations in two variables x and y. (0, 1) i...
Solution:

Given that:
- (0, 1) is a solution for both the equations E1 and E2.
- (2, -1) is a solution of equation E1 only.
- (-2, -1) is a solution of equation E2 only.

We need to find the equations E1 and E2.

Let's begin by finding the equation E1.

Since (2, -1) is a solution of equation E1, we can substitute x = 2 and y = -1 in E1 to get:
2 - (-1) = 3
So, the point (2, -1) satisfies the equation E1 as 3 = 3.

Now, let's find the equation E2.

Since (-2, -1) is a solution of equation E2, we can substitute x = -2 and y = -1 in E2 to get:
-2 - (-1) = -1
So, the point (-2, -1) satisfies the equation E2 as -1 = -1.

Now, we know that (0, 1) is a solution for both the equations E1 and E2. We can substitute x = 0 and y = 1 in both the equations to get:
E1: 0 + 1 = 1
E2: 0 - 1 = -1

Therefore, the equations E1 and E2 are:
E1: x + y = 1
E2: x - y = -1

Hence, the correct option is C) x + y = 1, x - y = -1.
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Community Answer
Let E1, E2 are two linear equations in two variables x and y. (0, 1) i...
Just put the given solutions of each linear equation in the options,u will get the ans as 'c'.
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Let E1, E2 are two linear equations in two variables x and y. (0, 1) is a solution for both the equations E1 & E2. (2, -1) is a solution of equation E1 only and (-2, -1) is a solution of equation E2 only then E1, E2 are ______.a)x = 0, y = 1b)2x – y = -1, 4x + y = 1c)x + y = 1, x – y = -1d)x + 2y = 2, x + y = 1Correct answer is option 'C'. Can you explain this answer?
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Let E1, E2 are two linear equations in two variables x and y. (0, 1) is a solution for both the equations E1 & E2. (2, -1) is a solution of equation E1 only and (-2, -1) is a solution of equation E2 only then E1, E2 are ______.a)x = 0, y = 1b)2x – y = -1, 4x + y = 1c)x + y = 1, x – y = -1d)x + 2y = 2, x + y = 1Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Let E1, E2 are two linear equations in two variables x and y. (0, 1) is a solution for both the equations E1 & E2. (2, -1) is a solution of equation E1 only and (-2, -1) is a solution of equation E2 only then E1, E2 are ______.a)x = 0, y = 1b)2x – y = -1, 4x + y = 1c)x + y = 1, x – y = -1d)x + 2y = 2, x + y = 1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let E1, E2 are two linear equations in two variables x and y. (0, 1) is a solution for both the equations E1 & E2. (2, -1) is a solution of equation E1 only and (-2, -1) is a solution of equation E2 only then E1, E2 are ______.a)x = 0, y = 1b)2x – y = -1, 4x + y = 1c)x + y = 1, x – y = -1d)x + 2y = 2, x + y = 1Correct answer is option 'C'. Can you explain this answer?.
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