Solve each system by substitution.
6) y = 2x - 3
y=-8x + 17

x = 2 and y = 1

Step-by-step explanation: What we have here is a pair of simultaneous equations and we have been instructed to solve by using the substitution method.

The equations are

y = 2x - 3 (1)

y = -8x + 17 (2)

The y variable has a coefficient of 1 in both equations so we can start with either of equation (1) or (2).

From equation (1) y = 2x - 3. Substitute for the value of y into equation (2)

2x - 3 = -8x + 17

By collecting like terms we now have

2x + 8x = 17 + 3

(Remember that when a negative value crosses to the other side of the equation it becomes positive and vice versa)

10x = 20

Divide both sides of the equation by 10

x = 2

Having calculated the value of x, we can now substitute for the value of x into equation (1)

y = 2x - 3

y = 2(2) - 3

y = 4 - 3

y = 1

Therefore, x = 2 and y = 1.

(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