Solve for x and y 2x+3xi+2y=28+9i

2 answers:

5 0

X = 6iy-4y+83-66i/13
y= 14+9i/2-x-3xi/2

3 0

Answer:

x = 3, y = 11

Step-by-step explanation:

Given

2x + 3xi + 2y = 28 + 9i

Compare coefficients of like terms on both sides.

Comparing i terms

3x = 9 ( divide both sides by 3 )

x = 3

Comparing constant terms

2x + 2y = 28 ← substitute x = 3

2(3) + 2y = 28

6 + 2y = 28 ( subtract 6 from both sides )

2y = 22 ( divide both sides by 2 )

y = 11

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The closest distance between point A and point A' is 8.5 ⇒ B

Step-by-step explanation:

Let us revise the translation of a point

If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y)
If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y)
If the point (x , y) translated vertically up by k units then its image is (x , y + k)
If the point (x , y) translated vertically down by k units then its image is (x , y - k)

∵ Point A is located at (-5 , 2)

∵ Point A is translated 8 units to the right and 3 units up

- That means add x-coordinate by 8 and add y-coordinate by 3

∴ Point A' located at (-5 + 8 , 2 + 3)

∴ Point A' located at (3 , 5)

The distance between two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$