Solving the Equation ##10ax+bx=22x##

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The discussion focuses on solving the equation 10ax + bx = 22x, leading to the conclusion that 10a + b = 22. Participants emphasize the importance of validating one's own work and developing self-checking skills for effective test-taking. There is a call for clearer communication in seeking help, as assumptions about others' understanding can lead to confusion. The need for explicit questions when asking for assistance is highlighted. Overall, the conversation stresses the value of self-reliance in problem-solving and clear communication in collaborative learning.
chwala
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Homework Statement
See attached
Relevant Equations
simultaneous equations
1632307697683.png


I got ##22##,
i.e ##100ax+10bx+10ay+by=220x+22y##
→## 10ax+bx=22x##
→##10ay+by=22y##
→##10a+b=22##
 
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Do you not know how to check your own work? You should not have to ask whether you got the right answer, you should be able to validate it on your own. Learning to do this is an essential skill for test-taking.
 
phinds said:
Do you not know how to check your own work? You should not have to ask whether you got the right answer, you should be able to validate it on your own. Learning to do this is an essential skill for test-taking.
Agreed the reason why i post is to seek alternative ways of doing it...
 
chwala said:
Agreed the reason why i post is to seek alternative ways of doing it...
And you expected us to be mind readers and KNOW that that was why you posted? Please be more explicit in what you are asking.
 
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Thread 'Find the polar form of a complex number'

The working out suggests first equating ## \sqrt{i} = x + iy ## and suggests that squaring and equating real and imaginary parts of both sides results in ## \sqrt{i} = \pm (1+i)/ \sqrt{2} ## Squaring both sides results in: $$ i = (x + iy)^2 $$ $$ i = x^2 + 2ixy -y^2 $$ equating real parts gives $$ x^2 - y^2 = 0 $$ $$ (x+y)(x-y) = 0 $$ $$ x = \pm y $$ equating imaginary parts gives: $$ i = 2ixy $$ $$ 2xy = 1 $$ I'm not really sure how to proceed from here.
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