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emmainna [20.7K]
3 years ago
15

How to solve system graphically 4y = x + 8, x = 2/3y +2

Mathematics
1 answer:
8_murik_8 [283]3 years ago
5 0
4y = x + 8
<u>x = 2/3y + 2</u>
4y = x + 8
<u>2/3y = x + 2</u>
<u>3 1/3y </u>= <u>  8   </u>
 3 1/3     3 1/3
        y = 2 2/5
4(2 2/5) = x + 8
   9 3/5 = x + 8
<u>       -8        -8</u>
   1 3/5 = x
     (x y) = (1 3/5, 3)
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Step-by-step explanation:

1) By definition,

a) R, a relation in a set X, is reflexive if and only if ∀x∈X, xRx ---> xRx.

That is, x works at the same place of x.

b) R is symmetric if and only if ∀x,y ∈ X, xRy ---> yRx

That is if x works at the same place y, then y works at the same place for x.

c) R is transitive if and only if ∀x,y,z ∈ X, xRy∧yRz ---> xRz

That is, if x works at the same place for y and y works at the same place for z, then x works at the same place for z.

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3) A reflexive relation is a serial relation but the converse is not true. So, for number 3, a relation that is reflexive but not transitive would also be serial and not transitive.

QED!

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