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Solve the following pair of linear EQ by substitution method X +y - 8 upon 2 is equal to X+ 2 Y - 14 upon 3 is equals to 3 X+ Y minus 12 upon 11?
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Solve the following pair of linear EQ by substitution method X +y - 8 ...
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Solve the following pair of linear EQ by substitution method X +y - 8 ...
Substitution Method to Solve a Pair of Linear Equations
1. Given Equations:
X + y - 8/2 = X + 2y - 14/3 = 3x + y - 12/11
2. Step 1: Choose one equation to solve for one variable
Let's choose the first equation: X + y - 8/2 = X + 2y - 14/3
Simplify it to get a value for one variable.
3. Step 2: Solve for one variable
X + y - 4 = X + 2y - 14/3
y - 4 = 2y - 14/3
3(y - 4) = 2(2y - 14)
3y - 12 = 4y - 28
y = 16
4. Step 3: Substitute the value of y back into one of the original equations
Using the first equation X + y - 8/2 = 0
X + 16 - 4 = 0
X = -12
5. Step 4: Check the solution in the remaining equation
Using the third equation 3x + y - 12/11 = 0
3(-12) + 16 - 12/11 = 0
-36 + 16 - 12 = 0
-32 = 0 (not true)
6. Conclusion:
The solution for the given pair of linear equations is not valid as it does not satisfy all the equations simultaneously. This indicates that there might be a mistake in the calculations or the initial equations were not consistent with each other. It is important to double-check the calculations and verify the solution in all equations to ensure its accuracy.
1. Given Equations:
X + y - 8/2 = X + 2y - 14/3 = 3x + y - 12/11
2. Step 1: Choose one equation to solve for one variable
Let's choose the first equation: X + y - 8/2 = X + 2y - 14/3
Simplify it to get a value for one variable.
3. Step 2: Solve for one variable
X + y - 4 = X + 2y - 14/3
y - 4 = 2y - 14/3
3(y - 4) = 2(2y - 14)
3y - 12 = 4y - 28
y = 16
4. Step 3: Substitute the value of y back into one of the original equations
Using the first equation X + y - 8/2 = 0
X + 16 - 4 = 0
X = -12
5. Step 4: Check the solution in the remaining equation
Using the third equation 3x + y - 12/11 = 0
3(-12) + 16 - 12/11 = 0
-36 + 16 - 12 = 0
-32 = 0 (not true)
6. Conclusion:
The solution for the given pair of linear equations is not valid as it does not satisfy all the equations simultaneously. This indicates that there might be a mistake in the calculations or the initial equations were not consistent with each other. It is important to double-check the calculations and verify the solution in all equations to ensure its accuracy.
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Solve the following pair of linear EQ by substitution method X +y - 8 upon 2 is equal to X+ 2 Y - 14 upon 3 is equals to 3 X+ Y minus 12 upon 11?
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Solve the following pair of linear EQ by substitution method X +y - 8 upon 2 is equal to X+ 2 Y - 14 upon 3 is equals to 3 X+ Y minus 12 upon 11? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Solve the following pair of linear EQ by substitution method X +y - 8 upon 2 is equal to X+ 2 Y - 14 upon 3 is equals to 3 X+ Y minus 12 upon 11? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following pair of linear EQ by substitution method X +y - 8 upon 2 is equal to X+ 2 Y - 14 upon 3 is equals to 3 X+ Y minus 12 upon 11?.
Solve the following pair of linear EQ by substitution method X +y - 8 upon 2 is equal to X+ 2 Y - 14 upon 3 is equals to 3 X+ Y minus 12 upon 11? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Solve the following pair of linear EQ by substitution method X +y - 8 upon 2 is equal to X+ 2 Y - 14 upon 3 is equals to 3 X+ Y minus 12 upon 11? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following pair of linear EQ by substitution method X +y - 8 upon 2 is equal to X+ 2 Y - 14 upon 3 is equals to 3 X+ Y minus 12 upon 11?.
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