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kotykmax [81]
3 years ago
13

What is the solution to {4x - y = 8 {6x + y = 2

Mathematics
1 answer:
12345 [234]3 years ago
7 0

4x - y = 8 \\  + 6x + y = 2 \\  =  =  =  =  =  =  =  =  \\ 10x = 10 \\ 10 \div 10 = 1 \\ x = 1 \\  \\  \\ 6x + y = 2 \\ 6(1) + y = 2 \\ 6 + y = 2 \\y = 2 - 6 \\ y = -  4 \\  \\  \\  \\ check \\  \\ 6x + y = 2 \\ 6(1) + y( - 4) = 2 \\ 6 - 4 = 2 \\ 2 = 2
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Given the vectors u= <2, 1> and v= <5, 4>, determine the components of a vector represented by 2u - 3v
kati45 [8]

Answer:

C.) <-11, -10>

Step-by-step explanation:

Let's define how to work with vectors.

For two vectors:

V = <a, b>

W = <c, d>

The product of a scalar k and a vector is given by:

k*V = k*<a, b> = <k*a, k*b>

And the sum (or difference) of two vectors is given by:

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Now that we know this, we can solve the problem.

Here we have the vectors:

u = <2, 1>

v = <5, 4>

then:

2u - 3*v = 2*<2, 1> - 3*<5, 4>

             = <2*2, 2*1> - <3*5, 3*4>

             = <4, 2> - <15, 12>

             = <4 - 15, 2 - 12>

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Then the correct option is C.

5 0
3 years ago
-2x-9y=-25 -4x-9y=-23 system with elimination
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Multiply the first equation by -2. It turns into 4x+18y=50 and the other one stays -4x-9y=-23. Then you "eliminate" the equations by "adding" them. Set it up like this: 
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      +
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4x-4x= 0. 18y-9y= 9y and 50-23= 27
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And then you plug that in to one equation: 4x +18(3)= 50. 4x= 50-(18*3)
4x= -4, so x=-1.
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Hope this helps. Happy solving! :)
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3 years ago
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Please answer ASAP. The question is down below
Nadusha1986 [10]

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2) In order to be a rational expression, it must be in the form \dfrac{a}{b} where both a and b are integers.

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Option <em>(iii)</em> contains b as an exponent.  Since there is no information about b, it could be a fraction, which means it could be an irrational number.

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