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Zepler [3.9K]
3 years ago
7

In the solution of the equation 5 - 3x = 2x + 9, 3x is added to the equation first. Which of the following should be done next?

Mathematics
2 answers:
brilliants [131]3 years ago
6 0
The answer should be "add -9"
Lorico [155]3 years ago
6 0
Regardless of which action you choose, you should include "to both sides."
For example, you could add -9 to both sides, or you could subtract 9 from both sides (same result).  Adding 3x to both sides results in 

<span>5 - 3x = 2x + 9</span>
   + 3x = 3x
----------------------
5 = 5x + 9

We need to solve for x.  The best way to do this is to subtract 9 from both sides, resulting in -4 = 5x, so that x = -4/5 (final answer).
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Passing through (-2,-6) and parallel to the line whose equation is y=-3x+4
Licemer1 [7]

Answer:

y = -3x - 12

Step-by-step explanation:

Lines that are parallel have the same gradient.

Therefore using the point (-2,-6) you can make your own equation.

-6 will be y, -2 will be x

All you have to do is find the y-intercept which is C in <em>y</em><em>=</em><em>mx</em><em>+</em><em>c</em>

-6 = -3(-2) + c

-6 = 6 + c

-12 = c

Therefore;

<u>y = -3x - 12</u>

6 0
2 years ago
Find the values of x and y that maximize the objective function P=3x+2y for the graph. What is the maximum value?
AURORKA [14]

Answer:

(9, 0)

Step-by-step explanation:

Maximum or minimum value occurs at the Corner. The points given are (0, 8), (5, 4) and (9, 0).

Substitute (0, 8) in the objective function.

We get P = 3(0) + 2(8) = 16

Now for (x , y) = (5, 4)

P = 3(5) + 2(4) = 15 + 8 = 23

At (9, 0) we get P = 3(9) + 2(0) = 27.

Clearly, we have the maximum value at (9, 0).

And the maximum value is 27.

3 0
3 years ago
PLEASE HELP TIMED
kogti [31]
Jjbivhvu this need a bit more
5 0
2 years ago
Slove the equation<br> 6x+4/5=8
Advocard [28]
6x+4/5=8 subtract 6x from both sides 4/5=8-6x multiply both sides by 5 to get rid of the fraction 4=40-30x divide both sides by 2 2=20-15x add 15x to both sides 15x+2=20 subtract 2 from both sides 15x=18 divide both sides by 15 x=1.2
3 0
3 years ago
Read 2 more answers
Tia is planning a sailing party for her friends. The boat rental is $150 plus an
mars1129 [50]

Answer:

16 people

Step-by-step explanation:

First subtract the cost of the rental from the amount of money:

$400-$150 = $250

Therefore Tia has $250 to spend for additional people. Then if each person is $15, divide the remaining amount of money by the amount of money per person:

$250/$15 = 16.67

Since you can't have 0.67 of a person she can have 16 people go with her.

This can also be modeled by this inequality:

150 + 15x \leqslant 400

4 0
3 years ago
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