Question #6444229Fill in the Blank
Algebra-1
Question
Solve the system of equations:. (x, y) = ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a system of linear equations using the elimination method and then substitute the found value to find the other variable.
This question tests the student's ability to solve a system of linear equations using the elimination method and then substitute the found value to find the other variable.
Key Concept Explanation
After eliminating one variable and finding the value of the other, substitute this value back into one of the original equations to find the remaining variable.
After eliminating one variable and finding the value of the other, substitute this value back into one of the original equations to find the remaining variable.
Step-by-step Solution
1. Multiply the second equation by 3 to make the coefficient of y equal to (opposite in sign to 3y in the first equation): →
2. Add it to the first original equation to eliminate y:
3. Simplify: → →
1. Multiply the second equation by 3 to make the coefficient of y equal to (opposite in sign to 3y in the first equation): →
2. Add it to the first original equation to eliminate y:
3. Simplify: → →
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