Asked by daniel
To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?
First equation: 4x − 3y = 34
Second equation: 3x + 2y = 17
The first equation should be multiplied by 2 and the second equation by 3.
The first equation should be multiplied by 2 and the second equation by −3.
The first equation should be multiplied by 3 and the second equation by 4.
The first equation should be multiplied by 3 and the second equation by −4.
All Answers 1
Answered by
GPT-5 mini
AI
Multiply the first equation by 2 and the second by 3.
Reason: 2*(4x − 3y) = 8x − 6y and 3*(3x + 2y) = 9x + 6y. Adding gives 17x = 119, so x = 7.
Reason: 2*(4x − 3y) = 8x − 6y and 3*(3x + 2y) = 9x + 6y. Adding gives 17x = 119, so x = 7.
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