3 years ago

C (x+2)-5 = 6(x-3) solve for x

1 answer:

4 0

        c(x + 2) - 5 = 6(x - 3)
    c(x) + c(2) - 5 = 6(x) - 6(3)
   cx + 2c - 5 = 6x - 18
         + 18     + 18
      cx + 2c + 13 = 6x
         6     6
¹/₆cx + ¹/₃c + 2¹/₆ = x

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Step-by-step explanation:

If point $A(x,y)$ divides the segment with endpoints $C(x_1,y_1)$ and $D(x_2,y_2)$ in the ratio $m:n,$

then

$x=\dfrac{nx_1+mx_2}{m+n}\\ \\y=\dfrac{ny_1+my_2}{m+n}$

In your case,

$C(-4,3)\\ \\D(8,-1)\\ \\m:n=2:3$

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Thus,

$A(0.8,\ 1.4)\ \text{or }\ A\left(\dfrac{4}{5},\dfrac{7}{5}\right)$

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