3 years ago

If y varies directly as x and y=50 when x=2, find y when x=6

Mathematics

1 answer:

Andrews [41]3 years ago

7 0

Answer:

150

Step-by-step explanations:

Since, varies directly, and x=6 is 3 times x=2, then 50*3=150

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Complete the solution of the equation. find the value of y when equals 2. -3x-8y=10

Afina-wow [57]

The value of y can be calculated by translating the equation such that we solve y in terms of x.

-3x - 8y = 10

-8y = 10 + 3x

y = (10 + 3x) / -8

Then, we substitute 2 to the x in the equation.

y = (10 + 3(2)) / - 8 = 16/-8

y = -2

Thus, the value of y in the equation is -2.

4 0

3 years ago

The sum of two numbers is 75. The second number is 3 less than twice the first

Mandarinka [93]

Answer:

$\large{\textbf{The two numbers are: 26 and 49}.\\}$

Step-by-step explanation:

$\large{\textup{assume the two numbers are $x$ and $y$.}}\\\large{\textup{The given sentences are written in mathematical terms as follows:}\\$$ x + y = 75 \hspace{25mm} (1)$$ $$ y = 2x - 3 \hspace{25mm} (2) $$ \\\textup{Substituting $(2)$ in $(1)$,}\\\begin{align*} & \implies x + 2x - 3 = 75 \\& \implies 3x = 78 \\& \implies x = 26\end{align*}\textup{Substituting $x$ in $(1), \hspace{5mm} y = 49$} }$