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IgorC [24]
3 years ago
12

If the value of y varies directly with x and y= -1 when x=3, find y if x=9

Mathematics
1 answer:
Zolol [24]3 years ago
4 0

y = - 3

Since y varies directly as x then

y = kx ← ( k is the constant of variation )

to find k use y = - 1 when x = 3

k = \frac{y}{x} = \frac{-1}{3} = - \frac{1}{3}

hence y = - \frac{1}{3} x

when x = 9, then

y = - \frac{1}{3} × 9 = - 3


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<h2>The easiest to solve for is x in the first equation</h2>

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Given the system of equation, x + 4 y = 14. and 3 x + 2 y = 12, to solve for x, we can use the elimination method of solving simultaneous equation. We need to get y first.

x + 4 y = 14............ 1 * 3

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