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3 years ago

Please help me with this problem..

Mathematics

1 answer:

charle [14.2K]3 years ago

5 0

Answer:

y = 6

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 3 when x = 9, then

k = $\frac{y}{x}$ = $\frac{3}{9}$ = $\frac{1}{3}$ , thus

y = $\frac{1}{3}$ x ← equation of variation

When x = 18, then

y = $\frac{1}{3}$ × 18 = $\frac{18}{3}$ = 6

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Answer:

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Step-by-step explanation:

Hi!

First, let´s write the system of equations:

-y² + 6y + x -9 = 0

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The solutions of the system are the pairs (x, y) that satisfy both equations.

Let´s take the second equation and solve it for x:

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Subtract 27 from both sides of the equation

6y - 27 = x

Now, we can replace x in the first equation and solve it for y:

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Please see the attached figure. The point where the curves intersect is the solution to the system.

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