Solve for y 3x+2.75y=2(.625y+5)

1 answer:

6 0

$3x+2.75y=2(0.625y+5)\\\\3x+2.75y=2(0.625y)+9(5)\\\\3x+2.75y=1.25y+45\ \ \ \ |-3x\\\\2.75y=1.25y+45-3x\ \ \ \ |-1.25y\\\\1.5y=45-3x\ \ \ \ \ |:1.5\\\\y=30-2x$

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If logx27 + logy4 =5<br>and logx27 - logy4 =1<br>find x and y

Elanso [62]

Answer:

Hello,

I have reply too quick in comments (sorry)

Step-by-step explanation:

$\left\{\begin{array}{ccc}log_x (27)+log_y (4)=5\\log_x (27)-log_y (4)=1\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2*log_x (27)=6\\2*log_y (4)=4\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}log_x (27)=3\\log_y (4)=2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x^{log_x (27)}=x^3\\y^{log_y (4)}=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}27=x^3\\4=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x=3\\y=2\\\end{array}\right.\\\\$