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butalik [34]
3 years ago
14

Estimate the solution to the system of equations

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer:

the correct option is D.)

x =  \frac{3}{2}  \: and \: y =  \frac{1}{2}

Step-by-step explanation:

here is the solution :-

=》y = -x + 2

=》y = 3x - 4

so, by equating both equations we get,

=》-x + 2 = 3x - 4

=》2 + 4 = 3x + x

=》6 = 4x

=》x = 6 / 4

x =  \frac{3}{2}

plugging the value of x in equation 2,

=》

y =  -  \frac{ 3}{2}  + 2

=》

y =  \frac{ - 3 + 4}{2}

=》

y =  \frac{1}{2}

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Answer:

D

Step-by-step explanation:

A) more like parallel line

B) That is angle bisecting

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lukranit [14]
The first number is positive, so the second has to be positive too so that their product can be a positive number which is 48.
Suppose the first number is x and the second number is y.
We know that:
y = 4 + 2x (4 more meaning adding 4 to sthing and that sthing is twice x hence the 2x)
Moving on, we have x.y = 48 (we replace y by its other value that has x in it so that we have only one unknown variable that we need to find)
                        <=> x.(4 + 2x) = 48
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Now we have to solve the second degree equation, I don't know the exact names of things since I didn't study math in English, but we have to calculate the value of, say, b^2 - 4ac (ax^2 + bx + c)
in this case b = 4 , a = 2, c = -48
so b^2 - 4ac = 16 + 384 = 400, so the square root of that equals 20
now, we have two possible values for x, suppose x1 and x2
x1 = (-4 + 20)/2.a = (-4 + 20)/4 = 16/4 = 4
x2 =  (-4 - 20)/2.a = (-4 - 20)/4 = (-24)/4 = (-6) (which is impossible giving that the two numbers must be positive)
So x has to be equal to x1 => x = 4
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As a conclusion, x = 4 , y = 12 
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