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3 years ago

Solve the following system of equations by the substitution method.

Mathematics

1 answer:

Dahasolnce [82]3 years ago

6 0

Answer:

Step-by-step explanation:

5x=y+6 --------- equ 1

2x-3y=4 -------- equ 2

5x - 6 = y

y = 5x - 6

substitute in equ 2

2x-3(5x - 6) =4

2x - 3*5x + 3*6 = 4

2x - 15x + 18 = 4

- 13x = 4 - 18

-13x = -14

x = -14/-13

x = 14/13

substitute in equ 1

5*14/13 = y+6

70/13 - 6 = y

y = ( 70 - 78)/13

y = -8/13

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trapecia [35]

Answer:

sin(B) = $\frac{15}{17}$

cos(B) = $\frac{8}{17}$

tan(B) = $\frac{15}{8}$

Step-by-step explanation:

I always find it easiest to model out the triangle: Angle B will be at the converging point of a and c.

Using SOH CAH TOA, we know that the Sin of an angle will be its opposite over hypotenuse. The opposite is 15, and the hypotenuse is 17.

So $\frac{15}{17}$ is the sin of B.

We also know that the cosine of B will be it's adjacent over hypotenuse. The adjacent is 8 and the hypotenuse is 17, so

$\frac{8}{17}$

Lastly, we know the tangent of B will be it's opposite over adjacent. The opposite of B is 15, and it's adjacent is 8, so

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Answer:

Step-by-step explanation:

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3 years ago

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STatiana [176]

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Answer:

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Step-by-step explanation:

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Dominik [7]

Answer:

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Step-by-step explanation:

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