Question

You are given the system of equations to solve by the elimination method, which is an INCORRECT step that will NOT produce a

system with the same solution?
x + 2y = 7
2x - 5y = 5
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add 5 times the first equation and 2 times the second equation
multiply the first equation by 2 and subtract the second equation
multiply the first equation by -2 and add the second equation
multiply x by 2 in the first equation and subtract the second equation

Answer 1

Answer: multiply x by 2 in the first equation and subtract the second equation

Explanation:

To solve a system of linear equations by elimination method , our first step is to make its (either x or y) coefficient same.

For that we multiply a number to both sides of the equation not to only one term.

So by checking all the given options it is pretty clear that the last option is not applicable for elimination method because in this 2 is multiplied to only one term, which proceeds to loose the balance of the equation.

Thus , an INCORRECT step that will NOT produce a system with the same solution is "multiply x by 2 in the first equation and subtract the second equation ".