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the midpoint of (3 x, -2) and (-4, 5y) is (1,4). find x, -y​

Sagot :

keziahkarikari2

Answer:

(x,-y): (2,-2)

Step-by-step explanation:

M=(x+x)/2,(y+y)/2

Given (1,4)=

[tex] \frac{3x - 4}{2} [/tex]

This implies:

[tex]1 = \frac{3x - 4}{2} [/tex]

[tex]3x - 4 = 2 \\ 3x = 2 + 4 \\ \frac{3x }{3} = \frac{6}{3} \\ x = 2[/tex]

In a similar way,

[tex]4 = \frac{ - 2 + 5y}{2} \\ - 2 + 5y = 8 \\ 5y = 10 \\ y = 2[/tex]

The question demanded (x,-y)

Hence(2,-2) is the answer

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