Show work1. y = 2 x + 3 y = 32. y = 2 x - 5 y = x3. y = 4x + 10 y = -6

(1)

substitute y = 3 into the other equation

3 = 2x + 3 ( subtract 3 from both sides )

0 = 2x → x = 0

solution : (x, y) → (0, 3 )

(2)

substitute y = x into the other equation

x = 2x - 5 ( subtract x and add 5 to both sides )

5 = x then y = x so y = 5

solution : (x, y) → (5, 5 )

(3)

substitute y = - 6 into the other equation

- 6 = 4x + 10 ( subtract 10 from both sides )

- 16 = 4x ( divide both sides by 4 )

x = - 4

solution : (x, y) = (- 4, - 6 )

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

17.08

correct me if i am wrong.