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4 years ago

What are a couple ways to simplify 3(x-5)-4=17

Mathematics

1 answer:

Archy [21]4 years ago

7 0

Simplifying

3(x + -5) + -4 = 17

Reorder the terms:

3(-5 + x) + -4 = 17

(-5 * 3 + x * 3) + -4 = 17

(-15 + 3x) + -4 = 17

Reorder the terms:

-15 + -4 + 3x = 17

Combine like terms: -15 + -4 = -19

-19 + 3x = 17

Solving

-19 + 3x = 17

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '19' to each side of the equation.

-19 + 19 + 3x = 17 + 19

Combine like terms: -19 + 19 = 0

0 + 3x = 17 + 19

3x = 17 + 19

Combine like terms: 17 + 19 = 36

3x = 36

Divide each side by '3'.

x = 12

Simplifying

x = 12

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Answer:

$-3x-6 < -33$ and $-3x-6 \geq -6$

Step-by-step explanation:

we have

$-33 > -3x-6 \geq -6$

we know that

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rewrite

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and

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3. Write an equation for the line perpendicular to y = 6x - 5 that contains (2, 10)

Artemon [7]

Answer:

$y = -\frac{1}{6}x +\frac{31}{3}$

Step-by-step explanation:

We are to find the equation for the line which is perpendicular to another line with the equation $y = 6x - 5$ and passes through a point (2, 10).

Since the slope of a line which is perpendicular to another line is the negative reciprocal of the other line, therefore the slope of our line will be $-\frac{1}{6}$ .

Finding the y-intercept:

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Therefore, the equation of the line will be $y = -\frac{1}{6}x +\frac{31}{3}$ .

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ziro4ka [17]

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