50x+30y= 550 what is x and y

x = 8 and y = 5

Step-by-step explanation:

The question is as following:

what is x and y for the following system of equations:

50x + 30 y = 550 ⇒ (1)

44x + 36 y = 532 ⇒ (2)

Subtract (1) - (2)

∴ 6x - 6y = 18

Divide both sides by 6

∴ x - y = 3

∴ x = 3 + y  ⇒ (3)

Substitute with the value of x at (1)

50(3+y) + 30y = 550

Solve for y

150 + 50y + 30y = 550

80y = 550 - 150 = 400

∴ y = 400/80 = 5

Substitute with the value of y at (3)

∴ x = 3 + y = 3 + 5 = 8

So, x = 8 and y = 5

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47