Solve the system of equations given below. 8x+4y=16 7y=15-x a. (1,2) b. (4,-2) c. (2,1) d. (-2,4)

A. (1, 2)

Step-by-step explanation:

8x+4y=16  

7y=15-x

Divide both sides of the first equation by 4.

2x + y = 4     Eq. 1

Solve 2nd equation for x.

x = 15 - 7y

Substitute x of Eq. 1 with 15 - 7y.

2(15 - 7y) + y = 4

30 - 14y + y = 4

30 - 13y = 4

-13y = -26

y = 2

Substitute 2 for y in Eq. 1.

2x + 2 = 4

2x = 2

x = 1

Solution: (1, 2)

A. (1, 2)

d

step-by-step explanation:

(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