Solve the system of equations 9x-6y=-12 and 8x-5y=-8 by combining the equations

  (x, y) = (4, 8)

Step-by-step explanation:

We can multiply the first equation by -8 and the second by +9, then add the result.

  -8(9x -6y) +9(8x -5y) = -8(-12) +9(-8)

  -72x +48y +72x -45y = 96 -72

  3y = 24

  y = 8

Substituting for y in the first equation, we have ...

  9x -6(8) = -12

  9x = 36 . . . . . . add 48

  x = 4

The solution is (x, y) = (4, 8).

(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