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mr Goodwill [35]
3 years ago
13

Solve the system of equations using the substitution method. y=2+1/4x,

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
6 0

Answer: (4,3)


Step-by-step explanation:

1. In this method you must solve one of the equation for one of the variables and substitute it into the other equation to find the other variable. Then, substitute the value of that variable into one of the original equation to obtain the value of the other one.

2 You have that:

y=2+1/4x

3. Then, you can substitute it into the other equation and solve for x:

3x-5(2+1/4x)=-3\\3x-10-5/4x=-3\\7/4x=7\\x=4

4. Now you can obtain y:

y=2+1/4x

y=2+1/4(4)\\y=3

5. The answer is:

(4,3)



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Step-by-step explanation:

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Convert 6 4/5 to an improper fraction
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6 0
3 years ago
Fill in the blank. In the triangle below, y=
arsen [322]

Answer:

47.10

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

... Cos = Adjacent/Hypotenuse

The value y is the length of the hypotenuse, and the given length 35 is the side adjacent to the given angle. Thus, the cosine relationship will be helpful.

Filling in the given values, we have ...

... cos(42°) = 35/y

Multiplying by y/cos(42°), we can find y to be ...

... y = 35/cos(42°) ≈ 35/0.7431

... y ≈ 47.10

Y will be approximately  47.10 in length

Step-by-step explanation:

we will use this  form that we memorized in our schools ............. SOH CAH TOA

CAH means , Cos ∅= Adjacent/Hypotenuse

Given values

∅ =42°

hypotenuse= y

adjacent side length = 35

now putting in our values  into

Cos ∅= Adjacent/Hypotenuse

OR

cos(42°) = 35/y

by multiplying y on both sides we get

y= 35/cos( 42°)

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so  y= 35/0.743    

y = 47.10632

OR

y ≈ 47.10

3 0
3 years ago
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