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DENIUS [597]
3 years ago
9

Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.

Mathematics
2 answers:
gladu [14]3 years ago
8 0
Problem one: 5x - 4 = -2(3x + 2)
Use the distributive property to calculate what's in the parentheses
5x - 4 = -6x - 4
Add 4 to both sides
5x = -6x
(From here you can say x = 0 but here's a few final steps if you want)
Add 6 x to both sides
11x = 0
Divide both sides by 11
X=0
---------------------------------------------
Problem 2: Megan's solution

Megan correctly distributed the parentheses in her first step
Megan errored when she ADDED 5x to the left side but SUBTRACTED 5x from the right side in her third line
From that error she correctly finished the problem, but due to her error she got the wrong answer
The correct answer is x=11

lesya692 [45]3 years ago
7 0

When you use the Distributive Property, we will find...
5x - 4 = -6x - 4
Eliminate 4 by adding it to both sides.
5x = -6x
Add 6x to both sides and we get 11x = 0.
11x = 0
Divide both sides by 11.

x=0

The only mistake Megan made was when adding 5x with Megan accidentally subtracting 5x from the other side.

For this problem:
3(2x − 4) = 5x − 1
Distribute
6x - 12 = 5x - 1
Add 1 to both sides
6x - 11 = 5x
Subtract 6x from both sides
-11 = -x
Divide both sides by -1.
x = 11.

Hope this helps! Like this answer? Give it a Brainiest reward if so.

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Someone help quick plzzzz! first gets brainliest
Alex787 [66]

Answer:

1st: One Solution

2nd: Multiple Solutions

3rd: No Solution

4 0
2 years ago
Try this B E Given: BELO, BOLE Prove ABEL ALOB Complete the Proof Statements 1. 2. BO=LE 3. 4. ∆BEL =∆LOB REASONS 1.GIVEN 2. 3.
AnnZ [28]

The given congruency of the sides \mathbf{\overline{BE}} and \mathbf{\overline{LO}}  and \mathbf{\overline{BO}} and \mathbf{\overline{LE}} as well

as the congruency of the common side \mathbf{\overline{BL}} gives.

ΔBEL ≅ ΔLOB by SSS congruency postulate

<h3>Which values correctly completes the table?</h3>

The completed two column proof is presented as follows;

Statement {}                                          Reasons

1. \underline{\overline{BE} \cong \overline{LO}}                       {}                  1. Given

2. \overline{BO} ≅ \overline{LE}                       {}                 2.

3. \underline{\overline{BL} \cong \overline{BL}}                       {}                  3. <u>Reflexive property of congruency</u>

4. ΔBEL ≅ ΔLOB                     {}           4. <u>SSS congruency postulate</u>

Side-Side-Side, SSS, congruency postulate states that if three sides of

one triangle are congruent to three sides of another triangle, the two

triangles are congruent.

Learn more about different congruency postulates here:

brainly.com/question/1495556

7 0
1 year ago
Heyy pls help! worth 20 points, and please only help if you know the answer. also no links those r kinda annoying lol
iragen [17]

Step 1: Find the slope:

    m= \dfrac{y_2-y_1}{x_2-x_1}= \dfrac{-2-7}{4-(-2)} =  \dfrac{-9}{6}= -\dfrac{3}{2}

This gives you y=-\dfrac{3}{2}x+b, but we need to find b.

To find b, substitute in one (x,y) pair and it doesn't matter which one.  I'll go with (4,-2):

    \begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}

Now take that b-value and plug in into the slope-intercept form:

     y=-\dfrac{3}{2}x+4

It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.

7 0
3 years ago
4 is the _____ of 4n
murzikaleks [220]

Answer:

4 is the coefficient of 4n

Step-by-step explanation:

8 0
2 years ago
22.5 + 7(n−3.4) simplified
NARA [144]
-1.3+7n is the answer
7 0
3 years ago
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