InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Determine which equations have the same solution set as StartFraction 2 Over 3 EndFraction minus x plus StartFraction 1 Over 6 EndFraction equals 6 x. – x + = 6x by recognizing properties, rather than solving. Check all that apply. 4 – 6x + 1 = 36x StartFraction 5 Over 6 EndFraction minus x equals 6 x – x = 6x 4 – x + 1 = 6x StartFraction 5 Over 6 EndFraction plus x equals 6 x + x = 6x 5 = 30x 5 = 42x |
| Answer» <html><body><p>Step-by-step explanation:The correct question as understood from the <a href="https://interviewquestions.tuteehub.com/tag/statement-16478" style="font-weight:bold;" target="_blank" title="Click to know more about STATEMENT">STATEMENT</a> is: Determine which equations have the same solution set as 2/3 – x + 1/6 = 6x by recognizing properties, rather than solving. Check all that apply. a) 4 - 6x + 1 = 36x b) 5/6 - x = 6x c) 4 - x + 1 = 6x d) 5/6 + x = 6x e) 5 = 30x f) 5 = 42x Answer: Options: a, b and f Step-by-step explanation: The given equation is: Adding x to both sides, we get: Option a) 4 - 6x + 1 = 36x Moving 6x to the right <a href="https://interviewquestions.tuteehub.com/tag/hand-1015171" style="font-weight:bold;" target="_blank" title="Click to know more about HAND">HAND</a> side of the equation and simplifying the answer, would give us 5 = 42x, which is the same as the second last equation in above simplification. Thus this equation has the same roots. Option b) 5/6 - x = 6x Moving x to other side will give us the same equation as we got in <a href="https://interviewquestions.tuteehub.com/tag/3rd-311114" style="font-weight:bold;" target="_blank" title="Click to know more about 3RD">3RD</a> last step of the above simplification. Thus this equation has the same roots. Option c) 4 - x + 1 = 6x Moving x to other side, and simplifying the result gives us an equation which does not match with the equations in above simplifications. So, this equation does not have the same root. Option d) 5/6 + x = 6x Moving x to other side, and simplifying the result gives us an equation which does not match with the equations in above simplifications. So, this equation does not have the same root. Option e) 5 = 30x This does not match with the second last step of the above simplification. So, this equation does not have the same root. Option f) 5 = 42x This equation <a href="https://interviewquestions.tuteehub.com/tag/matches-1089113" style="font-weight:bold;" target="_blank" title="Click to know more about MATCHES">MATCHES</a> with the second last step of the above simplification. Thus this equation has the same roots.</p></body></html> | |