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Likurg_2 [28]
3 years ago
7

Solve the system of equations using elimination. 4x - 7y = 5 8x + 3z = -35 6y + 3z = 15

Mathematics
2 answers:
9966 [12]3 years ago
8 0

Answer:

x = -11.88    y = -7.5    z =20

Step-by-step explanation:

    8x -6y = -50

-2( 4x -7y = 5 )

8x -6y = -50

-8x +14y = -10

8y= -60

y= -7.5

4x -7(-7.5) = 5

4x + 52.5 = 5

4x = -47.5

x= -11.88

6(-7.5) +3z = 15

-45 +3z = 15

45            45

3z = 60

z= 20

Angelina_Jolie [31]3 years ago
4 0

Answer:

x=-5/8, y=15/2, z=-10. (-5/8, 15/2, -10).

Step-by-step explanation:

4x-7y=5

8x+3z=-35

6y+3z=15

----------------

4x=7y+5

2(4x)=2(7y+5)

8x=14y+10

14y+10+3z=-35

14y+3z=-35-10

14y+3z=-45

-----------------------

14y+3z=-45

6y+3z=15

------------------

14y+3z=-45

-(6y+3z)=-15

---------------------

14y+3z=-45

-6y-3z=-15

--------------------

8y=-60

simplify,

y=15/2

6(15/2)+3z=15

45+3z=15

3z=15-45

3z=-30

z=-30/3

z=-10

8x+3(-10)=-35

8x-30=-35

8x=-35+30

8x=-5

x=-5/8

x=-5/8, y=15/2, z=-10.

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6x2-30=0
agasfer [191]

The quadratic form is ax^2 + bx + c

The given equation is 6x^2 -30 = 0

a = 6 because it is with x^2.

There is no x term in the equation so b is 0

c is the numerical term with no variable so c = -30

a = 6

b = 0

c =-30

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Step-by-step explanation:

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2 years ago
Felicia places a rectangular rug that measures 10 feet by 11 feet in a triangular room with a base of 30 feet and height of 22 f
arsen [322]

Answer:

1. Area of rectangular rug is 110 ft^{2}

2. Area of triangular room is 330ft^{2}

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, rectangle and triangle.

step one

let us start by solving for the area of the rectangular rug

given data

Area A =  ?

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we know that the area of a rectangle is expressed as

Area=Length * Width

substituting our given data we have

Area= 11*10\\Area= 110 ft^{2}

step two

let us  solve for the area of the triangular room

given data

Area A =  ?

base b =  30 ft

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we know that the area of a triangle is expressed as

Area= \frac{1}{2} *base* height\\

substituting our given data we have

Area= \frac{1}{2} * 30* 22\\Area=\frac{660}{2} \\Area= 330 ft^{2}

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3 years ago
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