3 years ago

z varies directly with x^2 and inversely with y. When x = 2 and y = 4, z = 3. What is the value of z when x = 4 and y = 9?

1 answer:

5 0

Attached the solution and work.

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Korvikt [17]

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Alex Ar [27]

Angle A and angle B sums up to 180 (interior angles)

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slavikrds [6]

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Snezhnost [94]

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katen-ka-za [31]

$4x - y = - 5 \\ - 2x + y = 3$

Solve the second equation for y

$4x - y = - 5 \\ y = 3 + 2x$

Substitute the given value of y into the first equation

$4x - (3 + 2x) = - 5$

Solve the equation for x

$x = - 1$

Substitute the given value of x into the second equation

$y = 3 + 2( - 1)$

Solve the equation for y

$y = 1$

The possible solution of the system is the ordered pair (x,y)

$(x,y) = ( - 1, 1)$

7 0

2 years ago