C would be the correct answer. You caanot multiply just one part of an equation, you must multiply the whole thing. All of the other steps follow this rule, so C is an incorrect step, and is therefore the correct choice.
Hope this helps!
Answer:
C) Multiply 3x by 6 in the first equation and subtract the second equation.
Step-by-step explanation:
We have been given a system of equations.[tex]3x+3y = 4[/tex] and [tex]18x-9y = 12[/tex]. We are asked to choose the "incorrect" step that will make "not" produce a system with the same solution.
Let us see our give choices one by one.
A) multiply the first equation by 6 and subtract the second equation.
When we will multiply 1st equation by 6, the coefficient of x would be 18. When we will subtract 2nd equation the both x's will cancel out. Therefore, option A is correct.
B) multiply the first equation by −6 and add the second equation.
When we will multiply 1st equation by -6, the coefficient of x would be -18. When we will add 1st equation to 2nd equation the both x's will cancel out. Therefore, option B is correct as well.
C) Multiply 3x by 6 in the first equation and subtract the second equation.
We need to remember that we cannot multiply only one term of equation by some quantity as it will make the whole equation false, therefore, option C is incorrect.
