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Find value of a and b if y = 1 and x = 2 is solution of linear equation ax + by =3 and 3a – 2b = 1.

  • a)
    a = 2, b = 3

  • b)
    a = 1, b = 2

  • c)
    a = 1, b = 1

  • d)
    a = 4, b = 1

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Find value of a and b if y = 1 and x = 2 is solution of linear equatio...
Given Equations
ax + by = 3    {1}
3a - 2b = 1     {2}
x = 2, y = 1 ( given) 
Equation {1} becomes,
2a + b = 3      {3}
Substract equation {3} from {2}, we get,
2a + b - 3a + 2b = 3 - 1
-a + 3b  = 2
3b = 2 + a
b = (2+a) / 3 
Put the value of b in equation {3}, we get
2a + (2 +a ) / 3 = 3
(6a +a +2) / 3 = 3
7a + 2 = 9
a = 1
Now put value of a in {3}
2 + b = 3
b = 1
hence we get value of a and b i.e. 1 and 1 
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Most Upvoted Answer
Find value of a and b if y = 1 and x = 2 is solution of linear equatio...
To find the values of a and b, we substitute the given values of x and y into the equation and solve for a and b.

Using the values x = 2 and y = 1, we have:

2a - b = 3 (equation 1)
3a + b = 3 (equation 2)

We can solve this system of equations using elimination or substitution method.

Using the elimination method, we can add equations 1 and 2:

(2a - b) + (3a + b) = 3 + 3
5a = 6

Dividing both sides by 5:

a = 6/5

Now, substitute the value of a into either equation 1 or 2 to solve for b. Let's use equation 1:

2(6/5) - b = 3
(12/5) - b = 3
- b = 3 - 12/5
- b = (15 - 12)/5
- b = 3/5

Therefore, the values of a and b are:

a = 6/5
b = -3/5
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Community Answer
Find value of a and b if y = 1 and x = 2 is solution of linear equatio...
The value of y=1 & x=2 ax + by = 3 =) a × 2 + b × 1=3 =)2a +b=3 The correct answer is C because if we will put the value of a=1 & b=1, then the answer will be verified 2a + b=3 =)2×1 + 1=3 =)3=3 (verified)
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Find value of a and b if y = 1 and x = 2 is solution of linear equation ax + by =3 and 3a – 2b = 1.a)a = 2, b = 3b)a = 1, b = 2c)a = 1, b = 1d)a = 4, b = 1Correct answer is option 'C'. Can you explain this answer?
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Find value of a and b if y = 1 and x = 2 is solution of linear equation ax + by =3 and 3a – 2b = 1.a)a = 2, b = 3b)a = 1, b = 2c)a = 1, b = 1d)a = 4, b = 1Correct answer is option 'C'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find value of a and b if y = 1 and x = 2 is solution of linear equation ax + by =3 and 3a – 2b = 1.a)a = 2, b = 3b)a = 1, b = 2c)a = 1, b = 1d)a = 4, b = 1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find value of a and b if y = 1 and x = 2 is solution of linear equation ax + by =3 and 3a – 2b = 1.a)a = 2, b = 3b)a = 1, b = 2c)a = 1, b = 1d)a = 4, b = 1Correct answer is option 'C'. Can you explain this answer?.
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