Question

Brainilest!!! 50pts Solve for x and y 45x+(-326y)=96 666x-777y=420

Answer 1

Multiply the first equation by -666 and the second by 45:-

-29970x + 217116y = -63936

29970x - 34965y = 18900

adding these 2 equations:-

182151y = -45036

y = -0.24724

x = 96 + 326* -0.24724 / 45 = 0.3422

x = 0.342, y = -0.247 Answer (correct to the nearest thousandth)

Answer 2

Equalization

X = (96 + 326Y)/45 (1)

X = (420 + 777Y)/666 (2)

(96 + 326Y)/45 = (420 +777Y)/666

666(96 + 326Y) = 45(420 + 777Y)

63936 + 217116Y = 18900 + 34965Y

217116Y - 34965Y = 18900 - 63936

182151Y = -45036

Y = -45036/182151

Y = - 2²*3⁴*139/3²*37*547 = - 2² * 3² * 139/37 * 547 = -5004/20239 = -0,2472

This is value of Y​ = -0,2472 approximately

Now we substitute this value in the equation (1)

45X = 96 + 326*-5004/20239

45X = 96 - 1631304/20239

45X = (20239*96 - 1631304)/20239

45X = (1942944 -1631304)/20239

45X = 311640/20239

X = 311640/20239*45 = 311640/910755 = 2³ * 3 * 5 * 7² * 53 / 3² * 5 * 37 * 547 =

X = 2³ * 7² * 53 / 3 * 37 * 547=

X = 20776 / 68717 = 0,3422

This is the value of X = 0,3422 approximately

ANSWER X = 20776/68717 = 0,3422 approximately

and Y = -5004/20239 = -02472 approximately

$\textbf{Michael Spymore}$​​