5x +3y =9 ___(1) 2x -3y =12 ___(2)
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Answered by
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Answer: x=3 and y=(-2).
Step-by-step explanation:
- Better understanding of algebra is required to solve this problem like addition of two polynomials, substitution method and elimination method.
- This problem is related to solving the linear equations in two variables.
- Given, 5x + 3y=9 (eq.1)
2x - 3y=12 (eq.2)
- We can solve this question by elimination method.
- Let's add the above equations,
5x + 3y + 2x - 3y=9 + 12
⇒7x = 21
⇒x =
∴ x = 3
- Putting the value of x in eq.2 and solving
2x - 3y=12
⇒ 6 - 3y=12
⇒ -3y = 6
∴ y =(-2)
- So, the value of x and y comes to be 3 and (-2).
- Hence, the required answer is x=3 and y=(-2).
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