Question 10 (1 point)

Mathematics

1 answer:

Kobotan [32]3 years ago

5 0

Answer:

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Step-by-step explanation:

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What is the value of y in this system of equations: 3x + y = 9 y = –4x + 10 ?

Ahat [919]

3x + y = 9 (I)
y = –4x + 10 (II)
------------------------
 $\left \{ {{3x + y = 9 } \atop {y = -4x + 10 }} \right.$

Pass the incognito "4x" to the first term, changing the signal when changing sides.
-------------------------
simplify by (-1)
 $\left \{ {{3x + y = 9.(-1)} \atop {4x + y = 10 }} \right.$ 

-------------------------
 $\left \{ {{- 3x - \diagup\!\!\!\!y =-9} \atop {4x + \diagup\!\!\!\!y = 10}} \right. 
$

-------------------------
 $\left \{ {{- 3x = - 9} \atop {4x = 10}} \right.$ 

-----------
 $\boxed{x = 1}$ 

Substitute in equation (I) to find the value of "Y".

3x + y = 9 (I)
3*(1) + y = 9
3 + y = 9
y = 9 - 3
$\boxed{y = 6}$

Answer:
$\boxed{\boxed{ \left \ {{x=1} \atop {y=6}} \right. }}$

6 0

3 years ago

Solve the system by elimination 2x+6y= -12 5x-5y= -10

kvv77 [185]

First thing you should do is reduce coefficients.

1st equation has all multiples of '2'. Divide by 2
---> x +3y = -6

2nd equation has multiples of 5. Divide by 5.
---> x - y = 2

Now elimination part is easier.
Eliminate 'x' variable by subtracting 2nd equation from 1st.

x + 3y = -6
-(x - y = 2)
----------------------
4y = -8

Solve for 'y'
4y = -8

y = (-8)/4 = -2

Substitute value for 'y' back into 2nd equation:
x - (-2) = 2
x + 2 = 2
x = 0

Solution to system is:
x=0, y =-2

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4 years ago

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UkoKoshka [18]

The answer to this is 1.

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4 years ago

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If the area of a rectangle 16s2t and the length is 8st2, what would the width of the rectangle, given that width is found by div

Dafna1 [17]

Area = Length x Width
Substituting the given values:
16S^2 t = 8St^2 x Width
Manipulating for Width:
Width = 16S^2 t / 8St^2
Rewriting the squared terms in simplified form :
Width = 16 x S x S x t / 8 x S x t x t
Cancelling the like terms
Width = 16 x S / 8 x t
Cancelling the numeric terms :

Width = 2S / t

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4 years ago

What is the 5th term of this geometric sequence? 100, 20, 4, 0.8, …

Alex777 [14]

First we have to find out the common number of them.
For that purpose, the first number should be divided by next number.
100/20 = 5
20/4 = 5
4/0.8 = 5

we have found that 5 is the common number.
0.8/5 = 0.16

therefore the answer is c

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3 years ago