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DIA [1.3K]
2 years ago
6

What is the solution of the system of equations shown below? y = –x + 3 y = 4x – 2

Mathematics
2 answers:
professor190 [17]2 years ago
8 0

y=-x+3~~.....(i)\\\\y = 4x-2~~....(ii)\\\\\text{Substitute}~ y = -x+3~ \text{in equation (ii):}\\\\\\-x+3 = 4x-2\\\\\implies 4x +x = 3+2\\\\\implies 5x = 5\\\\\implies x = \dfrac 55 =1\\\\\\\text{Substitute x= 1 in equation (i):}\\\\y= -1 +3 = 2\\\\\text{Hence}~ (x,y)=(1,2)

vladimir2022 [97]2 years ago
7 0

Answer:

b

Step-by-step explanation:

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Blizzard [7]

Answer:

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7 0
3 years ago
Please solve this with explanation
SpyIntel [72]

Answer:

-27/8

Step-by-step explanation:

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5 0
3 years ago
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den301095 [7]

Answer:

135 units²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

To calculate h use Pythagoras' identity on the right triangle on the left

h² + 8² = 17²

h² + 64 = 289 ( subtract 64 from both sides )

h² = 225 ( take the square root of both sides )

h = \sqrt{225} = 15 , thus

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7 0
3 years ago
Do the table and the equation represent the<br> same function?<br> y = 390 + 11(x)
Aneli [31]

Answer:

NO

Step-by-step explanation:

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  • y= 390 + 11*(-50) = -160
  • in the table we have -210 so the table doesn't represent the equation
5 0
3 years ago
One number is 3 times another. If the sum of the two numbers is 15, find the two numbers.
gregori [183]

Answer:

15/4 and 45/4

Step-by-step explanation:

Let x and y be the numbers

x = 3y

x+ y = 15

Substitute the first equation in to the second equation

3y+y = 15

4y = 15

y = 15/4

x = 3(15/4)

x = 45/4

The two numbers are 15/4 and 45/4

8 0
2 years ago
Read 2 more answers
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