3 years ago

Solve for y: x=5y-3

Mathematics

2 answers:

kobusy [5.1K]3 years ago

7 0

X=5y-3
-5y=-x-3
5y=x+3
y=x/5 + 3/5

mr Goodwill [35]3 years ago

5 0

Answer:

Step-by-step explanation

X=5y-3

Add 3 to both sides

X+3=5y-3+3

X+3=5y

Divide both sides by the coefficient of y

X+3/5=5y/5

Y= X+3/5

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3 years ago

Write an equation for the following: y varies directly with x and z. Find K when x=2, y=12 and z=5.

olga_2 [115]

$\qquad \qquad \textit{direct joint variation} \\\\ \textit{\underline{y} varies directly with \underline{x} and \underline{z}}~\hspace{8.5em} \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}xz~\hfill } \\\\ \textit{\underline{y} varies directly with \underline{x}, }w^2\textit{ and }z^5~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}xw^2z^5~\hfill } \\\\[-0.35em] ~\dotfill$

$y = kxz\qquad \textit{we know that} \begin{cases} x=2\\ y=12\\ z=5 \end{cases}\implies 12=k(2)(5) \\\\\\ \cfrac{12}{(2)(5)}=k\implies \cfrac{6}{5}=k~\hspace{10em}\boxed{y=\cfrac{6}{5}xz}$