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Monica [59]
3 years ago
7

What is the y-value in the solution to the system of linear equations?

Mathematics
1 answer:
Semmy [17]3 years ago
3 0

Answer:

4x+5y= -12

subtract 4x from both sides

5y = -4x - 12

divide by 5

y = -4/5 x - 12/5

-2x+3y= -18

subtract -2x

3y= -2x - 18

divide by 3

y= -2/3x -6

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Step-by-step explanation:

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Read 2 more answers
You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 50% white vinegar an
vichka [17]
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let's say we'll add "x" cups of pure vinegar, pure vinegar meaning is 100% vinegar.

how much vinegar is there in "x" cups of 100% vinegar?  well (100/100) * x, or just "x".

how much vinegar is there in 10 cups of 10% vinegar?  well, (10/100) * 10, or just 1.

say after adding the "x" cups to the 10 cups, we end up with "y" cups, of 50% of vinegar.

how much is 50% of y?  well, (50/100) * y or 0.5y.

bearing in mind that x+10 = y, both cups amounts added up, and that x+1=0.5y, both vinegar amounts added up, thus 

\bf \begin{array}{lccclll}
&\stackrel{cups}{amount}&\stackrel{vinegar~\%}{amount}&\stackrel{vinegar~cups}{quantity}\\
\textit{100\% vinegar}&x&1.00&x\\
\textit{10\% cups}&10&0.10&1\\
------&------&------&------\\
mixture&y&0.5&0.5y
\end{array}
\\\\\\
\begin{cases}
x+10=\boxed{y}\\
x+1=0.5y\\
----------\\
x+1=0.5\left( \boxed{x+10} \right)
\end{cases}
\\\\\\
x+1=0.5x+5\implies 0.5x=4\implies x=\cfrac{4}{0.5}\implies x=8
4 0
3 years ago
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