ALGEBRA PLEASE HELP ME!!!?

Question

equations

1. |6x-3|=15

2. 3|x+5|=21

inequalities

3. |4x-9|< or equal to 21

4. |10-3x|> or equal to 7

thank you soo much and if you could like explain step by step that would be really sweet. =]

Answer 1

1. 3 or -2  

6x-3=15 : add 3 to 15 and you end up with :6x=18 divide 18 by 6 which equals 3

change the right hand side to -15; then add 3; that gives you the equation 6x= -12; divide by 6 and x= -2

The bars mean absolute value: any answer that is within those bars will always be positive.

2. 2 or -12

first simplify |x+5|=7 ; what positive and negative number can you add to five to get 7? 2 &amp; -12;  

3. -3&lt;(or equal to) x&lt;(or equal to)15/2

start with your equation as: -21&lt;(or equal to) 4x-9&lt;(or equal to) 21

add 9 to both sides; then divide both sides by 4.

4. 17/3 &gt;(or equal to) x&gt;(or equal to)1

same thing as 3 : -7&gt;(or equal to) 10-3x&gt;(or equal to) 7

subtract both sides by 10

then divide both sides by -3

Hope this helps

Answer 2

1. First of all we need to «get the -3 the other side», that way:

6x - 3 + 3 = 15 + 3

6x = 18

now we need to find what&#039;s x, if it&#039;s written 6x, we need to divide by 6 THE 2 SIDES.

6x/6 = 18/6

x = 3

that&#039;s our first answer.

2. If 3 is outside the parenthesis, we need to multiply everything&#039;s in it by itself. Like that:

(3*x)+(3*5) = 21

that gives us

3x+15 = 21

now we do the same thing than at number 1, with a minus this time.

3x + 15 - 15 = 21 -15

3x = 6

3x/3 = 6/3

x = 2

3. 4x-9 &lt;= 21

Inequalities are quite the same thing.

4x - 9 +9 &lt;= 21 +9

4x &lt;= 30

4x/4 &lt;= 30/4

x &lt;= 7.5    

4. 10-3x &gt;= 7

same thing here

10-3x-10 &gt;= 7 -10

3x &gt;= -3

3x/3 &gt;= -3/3

x &gt;= -1

If you have any question about it feel free to email me.

Hope I helped

Answer 3

I would love to explain this to you but you would not learn anything from that now would you?

Most of us are not homework helpers.

It&#039;s called the textbook, use it to get help.

Answer 4

3

Answer 5

Can&#039;t help ya. . .  I hate algebra!

Answer 6

6x - 3 = 15

6x = 18

x = 3

6x - 3 = -15

6x = -12

x = -2

x+ 5 = 7

x = 2

x+ 5 = -7

x = -12

4x - 9 &lt; 21

4x &lt; 30

x &lt; 30/4

4x - 9 &gt; - 21

4x &gt; -12

x &gt; -3

Answer 7

justtt a giirl here it is

1. |6x-3|=15

6x - 3 = 15

6x = 15 + 3

6x = 18

x = 3

2. 3|x+5|=21

3x + 15 = 21

3x = 21 - 15

3x = 6

x = 2

3. |4x-9|&lt; or equal to 21

4x ≤ 21 + 9

4x ≤ 30

x ≤ 15/2

4. |10-3x|&gt; or equal to 7

10 - 3x ≥ 7

-3x ≥ 7 - 10

3x ≥ 3

x ≥ 1

hope this helps

Answer 8

1 |6x-3|=15

6x-3 = 15

6x-3 = -15

x= 3 or -2

2. 3|x+5|=21



x+5 = 7

x+5 = -7

x = 12 or -2

inequalities

3. |4x-9|&lt; or equal to 21

4x-9 = 21

4x-9 &gt;=-21

-3 &lt;= x &lt;= 7.5

4. |10-3x|&gt; or equal to 7

10-3x&gt;= 7

10-3x&lt;=-7

x&lt;=1 or x&gt;=5.7

Answer 9

Remember that the value inside the signs can be both negative and positive, so there should be two solutions of x.

1.) |6x - 3| = 15

6x - 3 = 15 or 6x - 3 = -15

6x = 18 or 6x = -12

x = 3 or x = -2 &lt;===ANSWER

2.) 3|x + 5| = 21

|x + 5| = 7

x + 5 = 7 or x + 5 = -7

x = 2 or x = -12 &lt;===ANSWER

3.) |4x - 9| ≤ 21

-21 ≤ 4x - 9 ≤ 21

-12 ≤ 4x ≤ 30

-3 ≤ x ≤ 15/2 &lt;===ANSWER

4.) |10 - 3x| ≥ 7

10 - 3x ≥ 7 or 10 - 3x ≤ -7

-3x ≥ -3 or -3x ≤ - 17

x ≤ 1 or x ≥ 17/3 &lt;===ANSWER

For equations, simply isolate the absolute value on one side of the equation and then solve for x twice, once with the positive and once with the negative. For example, in #1, you solve for x with 15 and -15. In inequalities, it&#039;s a bit different. If the isolated absolute value is less than, then you solve for x by negative &lt; absolute value &lt; positive, such as shown in #3, so x should be between two values. If the isolated absolute value is greater than, then you should make two inequalities, one with &gt; positive and one with &lt; negative, as shown in #4, so x should be x = ? or x = ?.

Answer 10

6x-3=15

6x=15+3

6x=18

x=18/6

x=3

2. 3{x+5}=21

[now multiplying 3 with x&amp; 5]

3x+15=21

3x=21-15

3x=6

x=2

3. |4x-9|&lt; or equal to 21

4x-9=21

4x=21+9

4x=30

x=30/4

7.5

now put t5he value of x in the equation

4(7.5)-9=21

30-9=21

21=-21

&amp; the 4th one is same as the 3rd

Answer 11

1.x = 3

6x-3=15 well that&#039;s simple, what&#039;s 15 plus 3? 18 and 6x3 is 18. and then the value of that would still stay the same.

2. x = 2

okay well that&#039;s easy too, 3 x what is 21? 7. so add 2 to 5 to make 7.

okay well sorry i don&#039;t know the last two.

Answer 12

|6x-3|=15

Subtract 3 from both sides. You should have:

|6x|=12

12 devided by 6 is 2. x = 2

Answer 13

6x-3=15           or         6x-3=-15 ........since it is absolute value

x=3                                x=2

4x-9-21&lt;=0  by using sine chart solve it

    or      x&lt;=15/2