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3 years ago

E Solve for x 6(x - 1) = 9(x + 2) x = -8 x= 3 x = 8

Mathematics

2 answers:

garik1379 [7]3 years ago

6 0

Answer:

x = -8

Step-by-step explanation:

$6(x - 1) = 9(x + 2)$

Expand :

$6(x - 1) = 6x - 6 \\ 9(x + 2) = 9x + 18$

$6x - 6 = 9x + 18$

Collect like terms and simplify

$6x - 9x = 18 + 6 \\ - 3x = 24$

Divide both sides of the equation by -3

$\frac{ - 3x}{ - 3} = \frac{24}{ - 3} \\ x = - 8$

kap26 [50]3 years ago

5 0

Answer:

Step-by-step explanation:

6x - 6 = 9x + 18

-3x - 6 = 18

-3x = 24

x = -8 is the solution

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creativ13 [48]

Using a system of equations, it is found that the unit prices are:

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For the system:

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y is the unit price of liter of pop.

z is the unit price for a chocolate bar.

From the table, the equations are:

$2x + 2y + z = 9.25$

$3x + 4y + z = 14.50$

$x + 3y + 3z = 12$

Replacing the <u>first equation on the second and the third:</u>

$z = 9.25 - 2x - 2y$

$3x + 4y + z = 14.50$

$3x + 4y + 9.25 - 2x - 2y = 14.50$

$x + 2y = 5.25$

$x = 5.25 - 2y$

$x + 3y + 3z = 12$

$x + 3y + 3(9.25 - 2x - 2y) = 12$

$-5x - 3y = -15.75$

$5x + 3y = 15.75$

Since $x = 5.25 - 2y$ :

$5(5.25 - 2y) + 3y = 15.75$

$-7y = -10.5$

$y = \frac{10.5}{7}$

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Then:

$x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25$

$z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75$

The unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

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3 years ago

Write an equation in slope-intercept form for the line that passes through (4,-3) and is parallel to the line described by y=1/2

Morgarella [4.7K]

Answer:

y=1/2x-5

Step-by-step explanation:

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3 years ago

You move down 6 units and left 9 units. You end at (-5, -3). Where did you start?

Olegator [25]

(4, 3) i think lol goodluck

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3 years ago

Which of the following best describes the equation below?

Reika [66]

4(x + 9) + 5x = 9x - 36

=> 4x + 36 + 5x = 9x - 36

=> 9x + 36 = 9x - 36

=> 9x - 9x = -36 - 36

=> 0 = -72

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So there is no solution for this equation.

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4 years ago

If y varies inversely with x<br> and y is 10 when x is 5,<br> then what is y when x is 2?

Jobisdone [24]

9514 1404 393

Answer:

Step-by-step explanation:

Inverse variation means ...

y = k/x

For the given values, we can find k to be ...

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6 0

3 years ago

E Solve for x 6(x - 1) = 9(x + 2) x = -8 x= 3 x = 8​

E Solve for x 6(x - 1) = 9(x + 2) x = -8 x= 3 x = 8