Use the linear combination method to solve the system of equations. –2.1x + 4y = 5.3 2.1x – 5.5y = –0.2 What is the solution to the system? ( , )

(-9, -3.4)

x = -9

y = -3.4

Step-by-step explanation:

-2.1x+4y=5.3

2.1x-5.5y=-0.2

0-1.5y=5.1

-1.5y=5.1

y=-3.4

Then plug in -3.4 for y in the first equation to get x = -9

Hope it helps <3

(-9, -3.4)

Step-by-step explanation:

-2.1x + 4y =5.3

2.1x - 5.5y = -0.2

Add both equations (cancelling x variable).

0 + -1.5y = 5.1

Solve for y.

-1.5y = 5.1

(-1.5y)/-1.5 = 5.1/-1.5

y = -3.4

Plug y as -3.4 in the first equation.

-2.1x + 4(-3.4) = 5.3

Solve for x.

-2.1x + -13.6 = 5.3

-2.1x - 13.6 + 13.6 = 5.3 + 13.6

-2.1x = 18.9

(-2.1x)/-2.1 = 18.9/-2.1

x = -9

step-by-step explanation:

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