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alexandr1967 [171]
3 years ago
10

3. 11x-7y=-14. X-2y=-4

Mathematics
2 answers:
pshichka [43]3 years ago
4 0
11x -7y= -14 (1)
x -2y= -4 (2)

Multiply (2) by 11, we have:
11x -22y= -44 (3)

Take (1)-(3), we have:
(11x-11x)+ (-7y-(-22y))= -14-(-44)
⇒ -7y+22y= -14+44
⇒ 15y= 30
⇒ y= 30/15
⇒ y= 2

x= -4+ 2y= -4+ 2*2= 0

The final answer is x=0, y=2~
Kisachek [45]3 years ago
4 0
The two given equations are
11x - 7y = - 14
x - 2y = -4
Now let us take the second equation for finding the value of x first
x - 2y = -4
x = 2y - 4
Now we have to put the value of x in the first equation
11x - 7y = - 14
11(2y - 4) - 7y = -14
22y - 44 - 7y = -14
15y = 44 - 14
15y = 30
y = 30/15
   = 2
Now let us put the value of y in the second equation
x - 2y = -4
x - 2(2) = -4
x - 4 = -4
x = -4 + 4
  = 0
So the value of x is 0 and the value of y is 2.

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Veronda has a bag of mixed shapes. She chooses 3 shapes and fits them together to form a figure as shown. 8 cm 4 cm K 17 cm What
Ainat [17]

The area of the figure created by Verona is 96.56 cm²

<h3>Area</h3>

Area is the amount of space occupied by a two dimensional object.

The area of the circle = (1/4) * π * 4² = 12.56 cm²

The area of the square = 8 cm * 8 cm = 64 cm²

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7 0
2 years ago
The difference of two numbers is 3. their sum is 14. find the two numbers. (show work please)
Artemon [7]
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8 0
3 years ago
Ten less than 5 times the value of a number is equal to 10 times the quantity of
grandymaker [24]

Answer:

52

Step-by-step explanation:

given that the number is a

The expression for Ten less than 5 times the value of a number is given by

5a - 10

10 times the quantity of  12 more than one-fourth of the number.

a/4 is one-fourth  of number

12 more than one-fourth of the number

a/4 + 12

expression for  10 times the quantity of  12 more than one-fourth of the number. is given by

10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120

Given that the above two expression are equal

equating them we have

5a - 10 = 2.5a + 120

adding 10 both sides

=>5a - 10+ 10  = 2.5a + 120 + 10

=> 5a = 2.5a + 130

subtracting 2.5a from both sides

=> 5a - 2.5a = 2.5a + 130 - 2.5a

=> 2.5a = 130

dividing both side by 2.5

=> a = 130/2.5 = 52

Thus, value of a is 52

5 0
3 years ago
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