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2x + 3y = 9
x -y = 2
Solve the problem by elimination method?
x -y = 2
Solve the problem by elimination method?
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2x + 3y = 9x -y = 2 Solve the problem by elimination method?
Elimination Method to Solve the System of Equations
To solve the system of equations 2x + 3y = 9 and x - y = 2 using the elimination method, follow these steps:
Step 1: Multiply the Second Equation by 3
- Multiply the second equation by 3 to make the coefficients of y the same in both equations:
3(x - y) = 3(2)
3x - 3y = 6
Step 2: Add the Equations Together
- Add the modified second equation to the first equation:
2x + 3y + 3x - 3y = 9 + 6
5x = 15
x = 3
Step 3: Substitute x back into one of the Equations
- Substitute the value of x back into the second original equation to solve for y:
3 - y = 2
-y = -1
y = 1
Step 4: Check the Solution
- Substitute the values of x and y back into both original equations to ensure they satisfy both equations:
2(3) + 3(1) = 9
6 + 3 = 9
9 = 9
3 - 1 = 2
2 = 2
Therefore, the solution to the system of equations is x = 3 and y = 1. The elimination method helped to find the values of x and y that satisfy both equations simultaneously.
To solve the system of equations 2x + 3y = 9 and x - y = 2 using the elimination method, follow these steps:
Step 1: Multiply the Second Equation by 3
- Multiply the second equation by 3 to make the coefficients of y the same in both equations:
3(x - y) = 3(2)
3x - 3y = 6
Step 2: Add the Equations Together
- Add the modified second equation to the first equation:
2x + 3y + 3x - 3y = 9 + 6
5x = 15
x = 3
Step 3: Substitute x back into one of the Equations
- Substitute the value of x back into the second original equation to solve for y:
3 - y = 2
-y = -1
y = 1
Step 4: Check the Solution
- Substitute the values of x and y back into both original equations to ensure they satisfy both equations:
2(3) + 3(1) = 9
6 + 3 = 9
9 = 9
3 - 1 = 2
2 = 2
Therefore, the solution to the system of equations is x = 3 and y = 1. The elimination method helped to find the values of x and y that satisfy both equations simultaneously.
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2x + 3y = 9x -y = 2 Solve the problem by elimination method?
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2x + 3y = 9x -y = 2 Solve the problem by elimination method? 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 2x + 3y = 9x -y = 2 Solve the problem by elimination method? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2x + 3y = 9x -y = 2 Solve the problem by elimination method?.
2x + 3y = 9x -y = 2 Solve the problem by elimination method? 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 2x + 3y = 9x -y = 2 Solve the problem by elimination method? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2x + 3y = 9x -y = 2 Solve the problem by elimination method?.
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