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Tatum wants to solve the following system of equations by using elimination method what integer should she multiply the second...Question
Tatum wants to solve the following system of equations by using the elimination method. What integer should she multiply the second equation by to eliminate a variable when you add the equations? 6x+3y=14 3x+2y=10
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GPT 3.5
To eliminate a variable when adding the two equations, Tatum should first multiply the second equation by 2. This will make the coefficients of the y term in both equations the same, allowing for elimination by addition.
The system of equations becomes:
6x + 3y = 14
6x + 4y = 20
When these equations are added together, the 6x terms will cancel out, leaving:
7y = 34
Now Tatum can solve for y, and then substitute that back into one of the original equations to solve for x.
The system of equations becomes:
6x + 3y = 14
6x + 4y = 20
When these equations are added together, the 6x terms will cancel out, leaving:
7y = 34
Now Tatum can solve for y, and then substitute that back into one of the original equations to solve for x.
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