All categories

3 years ago

3x+y=8(1) and x²+xy=6(2) solve this

Mathematics

2 answers:

abruzzese [7]3 years ago

7 0

Answer:

$[3, -1] \\ [1, 5]$

Step-by-step explanation:

{3x + y = 8 >> y = -3x + 8

{x² + xy = 6

${x}^{2} + x[-3x + 8] = 6 \\ {x}^{2} -3{x}^{2} + 8x = 6 \\ -2{x}^{2} + 8x = 6 \\ \\ -2{x}^{2} + 8x - 6 \\ [-2{x}^{2} - 6x] - [2x - 6] \\ \\ -2x[x + 3] - 2[x + 3] \\ \\ -[2x + 2][x + 3] = 0 \\ \\ 1, \: 3 = x$

You plug these back into both equations above to get both y-coordinates of -1 and 5:

$-1, \: 5 = y$

I am joyous to assist you anytime.

romanna [79]3 years ago

6 0

Answer:

In first equation if we put the value of x and y (x=2,y=2)than,

3x+y=8

3×x+y=8

3×2+2=8

6+2=8

8=8

in second equation the value of x=2,y=1

x2+xy=6

x2+x×y=6

4+2×1=6

4+2=6

6=6

You might be interested in

2. A supermarket display consists of boxes of cereal. The bottom row has 27 boxes. Each row has four fewer boxes than the row be

tresset_1 [31]

Answer:

Step-by-step explanation:

) Nth term = F + (N - 1) x D, where F=First term, N=Number of terms, D=Common difference

6th row = 23 + (6 - 1) x -3

= 23 + (5) x -3

= 23 + (-15)

= 8 - number of boxes in the top row.

b) Sum = N/2[2F + (N - 1) x D]

= 6/2[2*23 + (6 - 1) x -3]

= 3 [46 + (5) x -3 ]

= 3 [46 + -15 ]

= 3 [ 31 ]

= 93 - total number of boxes in the entire display.

4 0

3 years ago

Help pls I'm running out of points & brain cells lol T^T

marshall27 [118]

Answer:

- 4.7

Step-by-step explanation:

Step 1:

c - 1.5 + 6.8 = 0.6

Step 2:

c + 5.3 = 0.6

Step 3:

c = 0.6 - 5.3

Answer:

c = - 4.7

Hope This Helps :)

3 0

3 years ago

Read 2 more answers

Which is more, 50,000 millimeters or 5 decameters?

Katena32 [7]

Answer:

Step-by-step explanation:

50,000 mm=5,000 cm=500 decimeter=50 m=5 decameter

so both are equal.

8 0

3 years ago

Given that the rectangle above has a perimeter of 34 units find KLJ

vaieri [72.5K]

This question's answer is 22.62

4 0

3 years ago

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a stand

Art [367]

Answer:

b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal Variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:

This means that:

$\mu_G = 15$