All categories

2 years ago

Simultaneous EQUATION 3x+2y=16 2x+y=9 PLS HELP I need answer quickly

Mathematics

1 answer:

Serggg [28]2 years ago

6 0

Answer:

(2, 5 )

Step-by-step explanation:

Given the 2 equations

3x + 2y = 16 → (1)

2x + y = 9 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the y- term

- 4x - 2y = - 18 → (3)

Add (1) and (3) term by term to eliminate y

- x = - 2 ( multiply both sides by - 1 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

3(2) + 2y = 16

6 + 2y = 16 ( subtract 6 from both sides )

2y = 10 ( divide both sides by 2 )_

y = 5

solution is (2, 5 )

You might be interested in

Please helpppppp

melomori [17]

Given Information:

Years = t = 35

Semi-annual deposits = P = $2,000

Compounding semi-annually = n = 2

Interest rate = i = 6.5%

Required Information

Accumulated amount = A = ?

Answer:

Accumulated amount = $515,827

Step-by-step explanation:

The future value of amount earned over period of 35 years and interest rate 6.5% with semi-annual deposits is given by

FV = PMT * ((1 + i/n)^nt - 1)/(i/n))

Where

n = 2

i = 0.065

t = 35

FV = 2000*((1 + 0.065/2)^2*35 - 1)/(0.065/2))

FV = 2,000*(257.91)

FV ≈ $515,827

Therefore, Anthony will have an amount of $515,827 when he retires in 35 years.

6 0

2 years ago

A catalog has a scale drawing of a floating dock. The dock is a regular octagon attached to a rectangular walkway. The scale dra

gtnhenbr [62]

Answer: 5 feet.

Step-by-step explanation:

Remember that the lenghts of the sides of a regular octagon are equal.

You can observe in the figure that the lenght of a side of the regular octagon is 1.25 inches.

Let be "s" the actual length of a side of the regular octagon.

Knowing that the scale drawing has a scale of 1 inch 4 feet, you can find the actual lenght of a side of this regular octagon with:

$s=\frac{(1.25in)(4ft)}{(1in)}\\\\s=5ft$

Therefore, the actual length of a side of the octagon is 5 feet.

6 0

2 years ago

Consider the diagram below.

charle [14.2K]

Answer:

Is D I think

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Y=6mx-2b what is y equal to ?

Maksim231197 [3]

Hello there.

Y=6mx-2b what is y equal to

y=6mx−2b

7 0

3 years ago

A production process is checked periodically by a quality control inspector. the inspector selects simple random samples of 30 f

777dan777 [17]

Answer:

Population Mean = 2.0

Population Standard deviation = 0.03

Step-by-step explanation:

We are given that the inspector selects simple random samples of 30 finished products and computes the sample mean product weight.

Also, test results over a long period of time show that 5% of the values are over 2.1 pounds and 5% are under 1.9 pounds.

Now, mean of the population is given the average of two extreme boundaries because mean lies exactly in the middle of the distribution.

So, Mean, $\mu$ = $\frac{1.9+2.1}{2}$ = 2.0

Therefore, mean for the population of products produced with this process is 2.

Since, we are given that 5% of the values are under 1.9 pounds so we will calculate the z score value corresponding to a probability of 5% i.e.

z = -1.6449 {from z % table}

We know that z formula is given by ;

$Z = \frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

-1.6449 = $\frac{1.9 - 2.0}{\frac{\sigma}{\sqrt{n} } }$ ⇒ $\frac{\sigma}{\sqrt{n} } = \frac{-0.1}{-1.6449}$

⇒ $\sigma =$ 0.0608 * $\sqrt{30}$ {as sample size is given 30}

⇒ $\sigma$ = 0.03 .

Therefore, Standard deviation for the population of products produced with this process is 0.0333.

7 0

3 years ago