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Can you explain to me the cross multiplication rule for finding the value of x and y for a set of linear equations in two variables?
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Can you explain to me the cross multiplication rule for finding the va...
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Understanding Cross Multiplication Rule
The cross multiplication rule is a method used to solve a system of linear equations in two variables (x and y). It involves finding the values of x and y by cross multiplying the coefficients of the variables in the equations.
Steps to Apply Cross Multiplication Rule
• Step 1: Write down the given system of linear equations in the form of Ax + By = C.
• Step 2: Cross multiply the coefficients of x and y from each equation.
• Step 3: Set the two resulting equations equal to each other and solve for either x or y.
• Step 4: Substitute the value of x or y back into one of the original equations to find the other variable.
Example
Let's consider the following system of equations:
2x + 3y = 7
4x - 5y = 8
Cross Multiplying
• From the first equation: 2x * (-5) = 4x * 3
• Simplifying: -10x = 12x
• Solving for x: x = 1
Substitute and Solve
• Substitute x = 1 into the first equation: 2(1) + 3y = 7
• Simplifying: 2 + 3y = 7
• Solving for y: y = 5/3
Conclusion
Using the cross multiplication rule, we found the values of x and y for the given system of equations. This method is a useful tool for solving linear equations in two variables efficiently.
The cross multiplication rule is a method used to solve a system of linear equations in two variables (x and y). It involves finding the values of x and y by cross multiplying the coefficients of the variables in the equations.
Steps to Apply Cross Multiplication Rule
• Step 1: Write down the given system of linear equations in the form of Ax + By = C.
• Step 2: Cross multiply the coefficients of x and y from each equation.
• Step 3: Set the two resulting equations equal to each other and solve for either x or y.
• Step 4: Substitute the value of x or y back into one of the original equations to find the other variable.
Example
Let's consider the following system of equations:
2x + 3y = 7
4x - 5y = 8
Cross Multiplying
• From the first equation: 2x * (-5) = 4x * 3
• Simplifying: -10x = 12x
• Solving for x: x = 1
Substitute and Solve
• Substitute x = 1 into the first equation: 2(1) + 3y = 7
• Simplifying: 2 + 3y = 7
• Solving for y: y = 5/3
Conclusion
Using the cross multiplication rule, we found the values of x and y for the given system of equations. This method is a useful tool for solving linear equations in two variables efficiently.
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Can you explain to me the cross multiplication rule for finding the value of x and y for a set of linear equations in two variables?
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Can you explain to me the cross multiplication rule for finding the value of x and y for a set of linear equations in two variables? 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 Can you explain to me the cross multiplication rule for finding the value of x and y for a set of linear equations in two variables? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain to me the cross multiplication rule for finding the value of x and y for a set of linear equations in two variables?.
Can you explain to me the cross multiplication rule for finding the value of x and y for a set of linear equations in two variables? 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 Can you explain to me the cross multiplication rule for finding the value of x and y for a set of linear equations in two variables? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain to me the cross multiplication rule for finding the value of x and y for a set of linear equations in two variables?.
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