Show your work for the following problems: 1.)Solve by substitution:
3x - 3y = 33
2x + y = 19

2.)Solve by elimination:
-4x - 2y = -12
2x + 4y = -12

3.)Solve by elimination:
-6x + 6y = 6
-6x + 3y = -12

4.

Part 1 :

solve for y in 2x + y = 19:

y = 19 - 2x

substitute y = 19 - 2x into 3x - 3y = 33:

9x - 57 = 33

solve for x in 9x - 57 = 33:

x = 10

substitute x = 10 into y = 19 - 2x:

y = -1

Therefore,

x = 10

y = -1

Part 2 :

solve for x in -4x - 2y = -12:     x = 6 - y / 2

substitute x = 6 - y / 2 into 2x + 4y = -12:    6 + 3y = -12

solve for y in 6 + 3y = - 12:       y = -6

substitute y = -6 into x = 6 - y / 2:   x = 6

Therefore,

x = 6

y = -6

Part 3:

solve for x in -6x + 6y = 6:     x = y - 1

substitute x = y - 1 into -6x + 3y = -12:    -3y + 6 = -12

solve for y in -3y + 6 = -12:     y = 6

substitute y = 6 into x = y - 1:     x = 5

Therefore,

x = 5

y = 6

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step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2