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Value of x in pair of linear equations 36x + 24y = 702 and 24x + 36y = 558 is
- a)33/2
- b)145/7
- c)16
- d)17
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Value of x in pair of linear equations 36x + 24y = 702 and 24x + 36y =...
We have, 36x + 24y = 702
and 24x + 36y = 558
Simplifying above equations, we get
6x + 4y = 117 ...(1) and 4x + 6y = 93 ...(2)
Multiplying eq. (1) by 3, eq. (2) by –2 and then adding, we get 18x + 12y – 8x – 12y = 351 – 186
⇒ 10x = 165 ⇒ x =
and 24x + 36y = 558
Simplifying above equations, we get
6x + 4y = 117 ...(1) and 4x + 6y = 93 ...(2)
Multiplying eq. (1) by 3, eq. (2) by –2 and then adding, we get 18x + 12y – 8x – 12y = 351 – 186
⇒ 10x = 165 ⇒ x =
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Value of x in pair of linear equations 36x + 24y = 702 and 24x + 36y =...
To find the value of x in the given pair of linear equations, we can use the method of substitution or elimination. Let's use the method of substitution to solve these equations.
Given equations:
1) 36x + 24y = 702
2) 24x + 36y = 558
Step 1: Solve one equation for one variable in terms of the other variable.
Let's solve equation 1) for x:
36x = 702 - 24y
Dividing both sides by 36:
x = (702 - 24y)/36
Step 2: Substitute the value of x in equation 2) with the expression we obtained in step 1.
24[(702 - 24y)/36] + 36y = 558
Simplifying this equation:
(24 * 702 - 24 * 24y + 36 * 36y)/36 = 558
(16848 - 576y + 1296y)/36 = 558
(16848 + 720y)/36 = 558
16848 + 720y = 558 * 36
16848 + 720y = 20088
720y = 20088 - 16848
720y = 3240
Dividing both sides by 720:
y = 3240/720
y = 18/4
y = 9/2
Step 3: Substitute the value of y back into equation 1) to find the value of x.
36x + 24(9/2) = 702
36x + 216/2 = 702
36x + 108 = 702
36x = 702 - 108
36x = 594
Dividing both sides by 36:
x = 594/36
x = 33/2
Therefore, the value of x is 33/2, which matches option A) 33/2.
Given equations:
1) 36x + 24y = 702
2) 24x + 36y = 558
Step 1: Solve one equation for one variable in terms of the other variable.
Let's solve equation 1) for x:
36x = 702 - 24y
Dividing both sides by 36:
x = (702 - 24y)/36
Step 2: Substitute the value of x in equation 2) with the expression we obtained in step 1.
24[(702 - 24y)/36] + 36y = 558
Simplifying this equation:
(24 * 702 - 24 * 24y + 36 * 36y)/36 = 558
(16848 - 576y + 1296y)/36 = 558
(16848 + 720y)/36 = 558
16848 + 720y = 558 * 36
16848 + 720y = 20088
720y = 20088 - 16848
720y = 3240
Dividing both sides by 720:
y = 3240/720
y = 18/4
y = 9/2
Step 3: Substitute the value of y back into equation 1) to find the value of x.
36x + 24(9/2) = 702
36x + 216/2 = 702
36x + 108 = 702
36x = 702 - 108
36x = 594
Dividing both sides by 36:
x = 594/36
x = 33/2
Therefore, the value of x is 33/2, which matches option A) 33/2.
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Value of x in pair of linear equations 36x + 24y = 702 and 24x + 36y = 558 isa)33/2b)145/7c)16d)17Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Value of x in pair of linear equations 36x + 24y = 702 and 24x + 36y = 558 isa)33/2b)145/7c)16d)17Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Value of x in pair of linear equations 36x + 24y = 702 and 24x + 36y = 558 isa)33/2b)145/7c)16d)17Correct answer is option 'A'. Can you explain this answer?.
Value of x in pair of linear equations 36x + 24y = 702 and 24x + 36y = 558 isa)33/2b)145/7c)16d)17Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Value of x in pair of linear equations 36x + 24y = 702 and 24x + 36y = 558 isa)33/2b)145/7c)16d)17Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Value of x in pair of linear equations 36x + 24y = 702 and 24x + 36y = 558 isa)33/2b)145/7c)16d)17Correct answer is option 'A'. Can you explain this answer?.
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