Find the value of X and Y if (2x + 3) + i(x – 2y) = 5 – 7i

x = 1, y = 4

Step-by-step explanation:

Given

(2x + 3) + i(x - 2y) = 5 - 7i

Equate the real parts on both sides

2x + 3 = 5 ( subtract 3 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Equate the coefficients of the imaginary terms

x - 2y = - 7 , that is

1 - 2y = - 7 ( subtract 1 from both sides )

- 2y = - 8 ( divide both sides by - 4 )

y = 4

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

(-5,-28)

i graphed to on desmos.