PLEASE HELP ILL GIVE BRAINLIEST!!

What is the solution to this system of equations?

B. (4.75,-22)

Step-by-step explanation:

Step: Solve 3.2x+0.5y=4.2for x:

3.2x+0.5y=4.2

3.2x+0.5y+−0.5y=4.2+−0.5y(Add -0.5y to both sides)

3.2x=−0.5y+4.2

3.2x

3.2

=

−0.5y+4.2

3.2

(Divide both sides by 3.2)

x=−0.15625y+1.3125

Step: Substitute−0.15625y+1.3125 for x in−1.6x−0.5y=3.4:

−1.6x−0.5y=3.4

−1.6(−0.15625y+1.3125)−0.5y=3.4

−0.25y−2.1=3.4(Simplify both sides of the equation)

−0.25y−2.1+2.1=3.4+2.1(Add 2.1 to both sides)

−0.25y=5.5

−0.25y

−0.25

=

5.5

−0.25

(Divide both sides by -0.25)

y=−22

Step: Substitute−22 for y in x=−0.15625y+1.3125:

x=−0.15625y+1.3125

x=(−0.15625)(−22)+1.3125

x=4.75(Simplify both sides of the equation)

answer: the answer is b. i think hope i got it correct

step-by-step explanation:

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9