Answer:
Step-by-step explanation:
From (1):4(6)+3y=132
y=108/3=36
Answer x=6 and y=36
[tex] \frac{y - 6}{5} + \frac{y + 3}{4} = \frac{4y - 5}{10} \\ \\ \frac{4(y - 6) + 5(y + 3)}{20} = \frac{4y - 5}{10} \\ \\ \frac{4y - 24 + 5y + 15}{20} = \frac{4y - 5}{10} \\ \\ \frac{9y - 9}{20} = \frac{4y - 5}{10} \\ \\ 10(9y - 9) = 20(4y - 5) \\ \\ 90y - 90 = 80y - 100 \\ \\ 90y - 80y = - 100 + 90 \\ \\ 10y = - 10 \\ \\ y = \frac{ - 10}{10} \\ \\ y = - 1[/tex]
[tex] \frac{y - 6}{5} + \frac{y + 3}{4} = \frac{4y - 5}{10} \\ \\ putting \: the \: value \: of \: y \: in \: this \: equation. \\ \\ \frac{( - 1) - 6}{5} + \frac{( - 1) + 3}{4} = \frac{4( - 1) - 5}{10} \\ \\ \frac{ - 1 - 6}{5} + \frac{ - 1 + 3}{4} = \frac{ - 4 - 5}{10} \\ \\ \frac{ - 7}{5} + \frac{2}{4} = \frac{ - 9}{10} \\ \\ \frac{ - 7(4) + 2(5)}{20} = \frac{ - 9}{10} \\ \\ \frac{ - 28 + 10}{20} = \frac{ - 9}{10} \\ \\ \frac{ - 18}{20} = \frac{ - 9}{10} \\ \\ \frac{ - 9}{10} = \frac{ - 9}{10} [/tex]
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Answers & Comments
Answer:
Step-by-step explanation:
From (1):4(6)+3y=132
y=108/3=36
Answer x=6 and y=36
Verified answer
Answer:
y = - 1
Step-by-step explanation:
[tex] \frac{y - 6}{5} + \frac{y + 3}{4} = \frac{4y - 5}{10} \\ \\ \frac{4(y - 6) + 5(y + 3)}{20} = \frac{4y - 5}{10} \\ \\ \frac{4y - 24 + 5y + 15}{20} = \frac{4y - 5}{10} \\ \\ \frac{9y - 9}{20} = \frac{4y - 5}{10} \\ \\ 10(9y - 9) = 20(4y - 5) \\ \\ 90y - 90 = 80y - 100 \\ \\ 90y - 80y = - 100 + 90 \\ \\ 10y = - 10 \\ \\ y = \frac{ - 10}{10} \\ \\ y = - 1[/tex]
Check:-
To check the equation, putting the value of y in the given question :-
[tex] \frac{y - 6}{5} + \frac{y + 3}{4} = \frac{4y - 5}{10} \\ \\ putting \: the \: value \: of \: y \: in \: this \: equation. \\ \\ \frac{( - 1) - 6}{5} + \frac{( - 1) + 3}{4} = \frac{4( - 1) - 5}{10} \\ \\ \frac{ - 1 - 6}{5} + \frac{ - 1 + 3}{4} = \frac{ - 4 - 5}{10} \\ \\ \frac{ - 7}{5} + \frac{2}{4} = \frac{ - 9}{10} \\ \\ \frac{ - 7(4) + 2(5)}{20} = \frac{ - 9}{10} \\ \\ \frac{ - 28 + 10}{20} = \frac{ - 9}{10} \\ \\ \frac{ - 18}{20} = \frac{ - 9}{10} \\ \\ \frac{ - 9}{10} = \frac{ - 9}{10} [/tex]
Hence, Checked..