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Natalka [10]
2 years ago
13

What is the solution to the equation and explain your reasoning ​

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
5 0

Answer:

I think x = 1.5

Step-by-step explanation:

23 - 17 = 6

6 ÷ 4 = 1.5

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Can someone explain to me in words how to do this problem 3x+122=22x-11
inn [45]

When you have this type of problem, you need to combine the like-terms and isolate the variable.

3x + 122 = 22x - 11

Add 11 to both sides to get rid of it

3x + 122 + 11 = 22x - 11 + 11     (-11 + 11=0)

3x + 133 = 22x

Then you would bring the 3x to the other side, so subtract 3x from both sides

3x + 133 = 22x

-3x             -3x

133 = 22x - 3x

133 = 19x

Then divide both sides by 19 to isolate x

133/19 = 19x/19

133/19 = 7, so x = 7

Hope this helps!!

8 0
2 years ago
You need to solve a system of equations. You decide to use the elimination method. Which of these is not allowed? 3x-2y=7 equati
svetlana [45]

Answer:

x = 31/9 and y = 5/3

Step-by-step explanation:

It is given that,

3x - 2y = 7  -----(1)

3x + 4y = 17 ----(2)

<u>To find the solution by elimination method</u>

Step 1: Subtract eq(2) from eq(1)

3x - 2y = 7  -----(1)

<u> 3x + 4y = 17 </u>----(2)

0  - 6y = -10

6y = 10

y = 10/6 = 5/3

Step 2: Substitute the value of y in eq (1)

  3x - 2y = 7  -----(1)

  3x  - 2*(5/3) = 7

  3x = 7 + 10/3

  3x = 31/3

   x = 31/9

Therefore x = 31/9 and y = 5/3

5 0
3 years ago
Read 2 more answers
Find the sum of the least and greatest two digit prime numbers whose digits are also prime?
adoni [48]
First, we need to know the smallest two digit prime number. It can't start with one, since one is not prime, so it must start with two (or be in the twenties.) 20 is divisible by 2, 4, 5, and 10, 21 is divisible by 7 and 3, 22 is divisible by 2 and 11, so the smallest prime number is 23.

Now we need the largest two-digit prime number. It cannot start with nine or eight, since both are composite, so it must start with seven (be in the seventies.) 79 is the largest integer in the seventies and also happens to be prime, so there's our largest two digit prime number.

now we just need to add them for the sum:
23+79=102

hope I helped, and let me know if you have any questions :D
7 0
3 years ago
Which expression is equivalent to the one below? 6 ÷ 5<br><br>A 6:1/5<br>B 5:1/6<br>C 5/6<br>D 30​
vlada-n [284]

Answer:

option A

Step-by-step explanation:

6:1/5 can also be written as 6/1÷5 which equals to 6÷5

7 0
2 years ago
Read 2 more answers
How many solutions are there in the given equation?<br> y = 2x² + 6x + 4
tigry1 [53]

Step-by-step explanation:

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

2

2

+

6

+

4

=

0

2x^{2}+6x+4=0

2x2+6x+4=0

=

2

a={\color{#c92786}{2}}

a=2

=

6

b={\color{#e8710a}{6}}

b=6

=

4

c={\color{#129eaf}{4}}

c=4

=

−

6

±

6

2

−

4

⋅

2

⋅

4

√

2

⋅

2

x=\frac{-{\color{#e8710a}{6}} \pm \sqrt{{\color{#e8710a}{6}}^{2}-4 \cdot {\color{#c92786}{2}} \cdot {\color{#129eaf}{4}}}}{2 \cdot {\color{#c92786}{2}}}

x=2⋅2−6±62−4⋅2⋅4

brainliest and follow and thanks

8 0
2 years ago
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