1/2x - 3/4y=-2 Solve for Y

1 answer:

5 0

$\frac{1}{2}x-\frac{3}{4}y=-2\ \ \ |Add\ \frac{3}{4}y\\\\
\frac{1}{2}x=-2+\frac{3}{4}y\ \ \ |Add\ 2\\\\
\frac{1}{2}x+2=\frac{3}{4}y\ \ |*\frac{4}{3}\\\\
y=\frac{4}{3}(\frac{1}{2}x+2)\\\\
\boxed{y=\frac{2}{3}x+\frac{8}{3}}$

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In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?

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Answer:

PR5T represents 6754.

P = 6

R = 7

T = 4

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Step-by-step explanation:

Let us try to understand the subtraction starting from the unit's digit.

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- 4 7 Y 6

-----------------

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To get 8, 6 should be subtracted from 14

14 - 6 = 8

So, T should be equal unit digit of 14 i.e. T = 4 and 1 should be carried over from the ten's digit of PR5T.

Now, let us move to ten's digit:

P R 5 4

- 4 7 Y 6

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To get 9, 6 should be subtracted from 15. But 1 is already carried to unit's place So, we have actually 14 here

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R - carry - 7 = 9

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Moving to thousand's place:

P - carry - 4 = 1

Here carry is 1

So, P = 1 + 4 + 1 = 6

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Step-by-step explanation:

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