Which best describes the transformation? Triangle ABC was transformed using the rule (x, y) - (y
x). The vertices of the triangles are shown.
A(-1, 1) A (-1, -1)
B (1,1) B'(-1, 1)
C (1,4) C (4,1)
The transformation was a 90° rotation about the origin.
O The transformation was a 180° rotation about the origin.
O The transformation was a 270° rotation about the origin.
O The transformation was a 360° rotation about the origin.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

x=6 and x=3

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