All categories

3 years ago

A system of equations is shown below:

Mathematics

2 answers:

ioda3 years ago

8 0

Answer:

Solution (8 , 17).

Step-by-step explanation:

Given : y = 3x − 7 and y = 2x + 1 .

To find : What is the solution to the system of equations.

Solution : We have given

y = 3x − 7 --------(1)

y = 2x + 1 ---------(2).

Plug the value of y of equation 2 in equation 1.

2x + 1 = 3x - 7.

Subtracting both sides by 1

2x + 1 - 1 = 3x - 7 - 1.

2x = 3x - 8.

On subtracting both sides by 3x.

2x -3x = - 8.

-x = -8

On Dividing both sides by -1

x = 8.

Now plug the x = 8 in eq 1.

y = 3(8) -7.

y = 24 - 7.

y = 17.

Solution (8 , 17).

Therefore, Solution (8 , 17).

PolarNik [594]3 years ago

4 0

X = 8 and Y = 17 so the answer is A (8, 17)

You might be interested in

A number,M, is rounded to 1 decimal place. the result is 9.4 complete the error interval for M

ivann1987 [24]

Answer:

$9.35 \le M \le 9.45$

Step-by-step explanation:

Given

$M = 9.4$ to 1 d p

Required

The error interval

The error interval is represented as:

$Lower \le M \le Upper$

Where

$Lower = M - 0.05$

$Upper = M + 0.05$

So, we have:

$Lower = M - 0.05$

$Lower = 9.4 - 0.05$

$Lower = 9.35$

$Upper = M + 0.05$

$Upper = 9.4 + 0.05$

$Upper = 9.45$

Hence, the error interval: $Lower \le M \le Upper$ is:

$9.35 \le M \le 9.45$

3 0

3 years ago

Divide 20m^2n^3 - 10m^2n by 5mn

Sonja [21]

$\frac{20 {m}^{2} {n}^{3} - 10 {m}^{2}n }{5mn} \\ = \frac{5mn(4m {n}^{2} - 2m) }{5mn} \\ = 4 {m}^{2} n - 2m \\ = 2m(2mn - 1)$

Hope this helps. - M

6 0

3 years ago

Which of the following would be the best method for investigating the correlation between the hibernation habits of bears and th

Andre45 [30]

Answer: Observational study

Step-by-step explanation: I just took the test

4 0

3 years ago

9. Find the dimensions of the<br>4 triangular faces of the pyramid.<br>(Height is 55.5 ft)<br>

Minchanka [31]

Answer:

$Q=\frac{\pi}{2}*55.5ft=87.18ft\\P=87.18ft*\sqrt{\frac{1}{2}+\frac{16}{\pi ^{2}}}=87.18*0.9515=82.95ft\\$

Step-by-step explanation:

We have a 4-sided triangular pyramid , where

$Q=\frac{\pi}{2}*H\\P=Q*\sqrt{\frac{1}{2}+\frac{4}{\pi ^{2}}}\\Q=\frac{\pi}{2}*55.5ft=87.18ft\\P=87.18ft*\sqrt{\frac{1}{2}+\frac{16}{\pi ^{2}}}=87.18*0.9515=82.95ft\\$

3 0

3 years ago

I don't know what I am doing help please (C:

NeX [460]

Answer:

Step-by-step explanation:

The far right side of the triangle is 17 cm, which is the height.

The base would be 34 minus 17 because whole length of the rectangle is 34 and the triangle covers all but 17 of it.

So then you would take 1/2 of 17.

Then multiply it by 17 to get 160.5

7 0

3 years ago