1/2 X - 1/3 Y = 5
X= 2/3 Y + 10

x = 10

y = 0

Step-by-step explanation:

1/2 x - 1/3 y = 5   1

x = 2/3 y + 10   2

substituting equation 2 in 1

1/2( 2/3y + 10) - 1/3y = 5

0.5(0.6667y + 10) - 0.3333y =5

0.33335y + 5 - 0.3333y = 5

0.33335y - 0.3333y = 5 - 5

0.00005y = 0

y = 0

substitute y = 0 in equation 2

x = 2/3(0) + 10

x = 0 + 10

x = 10

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.

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