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Goryan [66]
3 years ago
9

Solve for x. 4x − 3/ 3 =7 Enter your answer in the box. x =

Mathematics
2 answers:
Ivanshal [37]3 years ago
8 0

Answer:

6

Step-by-step explanation:

I'm going to assume you mean (4x - 3) / 3 = 7

If that is not correct, could you please correct it.

Multiply both sides by 3

3*(4x - 3) / 3 = 7*3

The 3s cancel on the left

4x - 3 = 21  

Add 3 to both sides.

4x - 3 + 3 = 21 + 3

combine

4x = 24

Divide by 4

4x/4 = 24/4

x = 6

Agata [3.3K]3 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

(4x - 3)/3 = 7

4x - 3 = 21

4x = 24

x = 6

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Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)
Archy [21]

Answer:

x - 8y - z = 1

Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P (x_0,y_0,z_0) is

z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\

Now the partial derivatives of f are

f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}

\\\\=\frac{1}{9-8}

= 1

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f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}

= -8

So, the tangent equation is

z - 0 = 1\times (x - 9) -8\times (y - 1)

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

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x - 8y - z = 1

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