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Find the value of x and y for the given system of equations.
3x+4y=6
5x-4y=4
3x+4y=6
5x-4y=4
- a)x=-(5/4), y=-(16/9)
- b)x=(5/4), y=-(9/16)
- c)x=-(5/4), y= 16/9
- d)x=5/4, y=9/16
Correct answer is option 'D'. Can you explain this answer?
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Find the value of x and y for the given system of equations.3x+4y=65x-...
The given system of equations can be expressed in the form of AX=B,
⇒X=A-1 B
We know that, A-1=1/|A| adj A
⇒X=A-1 B
We know that, A-1=1/|A| adj A
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Find the value of x and y for the given system of equations.3x+4y=65x-...
To find the values of x and y for the given system of equations, we can solve the equations simultaneously using the method of elimination or substitution.
Given equations:
3x + 4y = 6 ...(1)
5x - 4y = 4 ...(2)
We will solve the equations using the method of elimination.
Elimination Method:
To eliminate the y term, we can add equations (1) and (2) together.
(3x + 4y) + (5x - 4y) = 6 + 4
8x = 10
Divide both sides by 8:
x = 10/8
x = 5/4
Substitution Method:
From equation (1), we can express x in terms of y:
3x = 6 - 4y
x = (6 - 4y)/3
Substitute this value of x into equation (2):
5(6 - 4y)/3 - 4y = 4
Multiply both sides by 3 to eliminate the fraction:
5(6 - 4y) - 12y = 12
30 - 20y - 12y = 12
Combine like terms:
30 - 32y = 12
-32y = 12 - 30
-32y = -18
Divide both sides by -32:
y = -18/-32
y = 9/16
Therefore, the solution to the given system of equations is:
x = 5/4
y = 9/16
Hence, the correct answer is option D: x = 5/4, y = 9/16.
Given equations:
3x + 4y = 6 ...(1)
5x - 4y = 4 ...(2)
We will solve the equations using the method of elimination.
Elimination Method:
To eliminate the y term, we can add equations (1) and (2) together.
(3x + 4y) + (5x - 4y) = 6 + 4
8x = 10
Divide both sides by 8:
x = 10/8
x = 5/4
Substitution Method:
From equation (1), we can express x in terms of y:
3x = 6 - 4y
x = (6 - 4y)/3
Substitute this value of x into equation (2):
5(6 - 4y)/3 - 4y = 4
Multiply both sides by 3 to eliminate the fraction:
5(6 - 4y) - 12y = 12
30 - 20y - 12y = 12
Combine like terms:
30 - 32y = 12
-32y = 12 - 30
-32y = -18
Divide both sides by -32:
y = -18/-32
y = 9/16
Therefore, the solution to the given system of equations is:
x = 5/4
y = 9/16
Hence, the correct answer is option D: x = 5/4, y = 9/16.
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Find the value of x and y for the given system of equations.3x+4y=65x-4y=4a)x=-(5/4),y=-(16/9)b)x=(5/4),y=-(9/16)c)x=-(5/4),y= 16/9d)x=5/4,y=9/16Correct answer is option 'D'. Can you explain this answer?
Question Description
Find the value of x and y for the given system of equations.3x+4y=65x-4y=4a)x=-(5/4),y=-(16/9)b)x=(5/4),y=-(9/16)c)x=-(5/4),y= 16/9d)x=5/4,y=9/16Correct answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Find the value of x and y for the given system of equations.3x+4y=65x-4y=4a)x=-(5/4),y=-(16/9)b)x=(5/4),y=-(9/16)c)x=-(5/4),y= 16/9d)x=5/4,y=9/16Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of x and y for the given system of equations.3x+4y=65x-4y=4a)x=-(5/4),y=-(16/9)b)x=(5/4),y=-(9/16)c)x=-(5/4),y= 16/9d)x=5/4,y=9/16Correct answer is option 'D'. Can you explain this answer?.
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