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katrin2010 [14]
3 years ago
15

4x - 2y = -2 6x + 3y = 27

Mathematics
1 answer:
JulijaS [17]3 years ago
6 0

Answer:

Step-by-step explanation:

4x - 2y = -2   ------------------(I)

6x + 3y = 27 ------------------(II)

Multiply (I) by 3 & multiply (II) by 2

(I)*3           12x - 6y = -6

(II)*2          <u>12x + 6y = 54</u>  { Now add &  y will be eliminated}

               24x          = 48

 x = 48/24

x = 2

Plugin the value of x in equation (I)

4*2 - 2y = - 2

8 - 2y = -2          {subtract 8 from both side}

-2y = -2 - 8

-2y = -10   {Divide both sides by -2}

y = -10/-2

y = 5

 

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3/4 (x - 3) - 5 = 1/8 ( x - 1 )
KonstantinChe [14]

Answer:

x = - \frac{57}{5}

Step-by-step explanation:

\frac{3}{4} (x - 3) - 5 = \frac{1}{8} (x - 1)

Multiply through by 8 to clear the fractions

6(x - 3) - 40 = x - 1 ← distribute parenthesis and simplify left side

6x - 18 - 40 = x - 1

6x - 58 = x - 1 ( subtract x from both sides )

5x - 58 = - 1 ( add 58 to both sides )

5x = - 57 ( divide both sides by 5 )

x = - \frac{57}{5}

3 0
2 years ago
Omg, I need help! A builder is buying property where she can build new houses. The line plot shows the sizes for each house. 1/6
klemol [59]

Answer:

Average size of the lots = ⅓ acre

Step-by-step explanation:

The question incomplete without specifying what we are to determine.

Question:A builder is buying property where she can build new houses. The line plot shows the sizes for each house. 1/6 has 6 X's 1/3 has 3 X's and 1/2 has 6 X's. Organize the information in a line plot. What is the average size of the lots? _________ acre

Help anyone?

Solution:

We are asked to organize the information in a line plot. See attachment for the line plot.

Given: 1/6 has 6 X's 1/3 has 3 X's and 1/2 has 6 X'sIn no particular order, the sizes of the lots are:1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 1/3, 1/3, 1/3, 1/2, 1/2, 1/2, 1/2, 1/2 and 1/2 acre.

Let's count the number of lot for each size given.

For 1/6: there are 6 X's on the line plot of 1/6 number of lot for 1/6

= the lot × number of times it occurs

= (1/6) × 6 = 6/6 = 1 acre

For 1/3: there are 3 X's on the line plot of 1/3 number of lot for 1/3 = the lot × number of times it occurs

= (1/3) × 3 = 3/3 = 1 acre

For 1/2: there are 6 X's on the line plot of 1/2 number of lot for 1/2

= the lot × number of times it occurs

= (1/2) × 6 = 6/2= 3 acres

To find average size of the lots, we would sum all lot for each given size then divide by the total number of lots given.Sum of all lot for each given size = 1+1+3

Sum of all lot for each given size = 5

The total number of lots given = 15

Average size of the lots = 5/15 = 1/3

Average size of the lots = ⅓ acre

7 0
3 years ago
Urgent help!!! <br><br> Write equation in slope intercept form.<br><br> 1.25 (25) = 31.25
Fantom [35]

The equation in slope intercept form is,31.25 = 1.25 \times 25 +0. The given equation is obtained by comparing the standard equation of the straight line.

<h3>What is a slope of a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

The given equation is;

1.25 (25) = 31.25

31.25=1.25 (25)

The standard equation of the slope intercept form. is;

\rm y = mx +x

On comparing the given equation with the above equation, we get;

y=31.25

m=1.25

x=25

c=0

The equation in slope intercept form is;

31.25 = 1.25 \times 25 +0

Hence, the above equation is the slope intercept form.

Learn more about the slope of the straight line;

brainly.com/question/3493733

#SPJ1

8 0
2 years ago
For which interval is the average rate of change of f(x) negative?
HACTEHA [7]

Answer:

829839483847234

Step-by-step explanation:

9232478346374546

64364746

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2 years ago
Daniel has read 60​% of a book. He has 28 more pages to finish. How many pages are there in the​ book? There are nothing pages i
elena-14-01-66 [18.8K]

-by-step explanation:

5 0
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