All categories

3 years ago

Solve by using substitution. State the solution as an ordered pair. 5x-y=1 -10x+2y=-2

Mathematics

1 answer:

Anni [7]3 years ago

6 0

Answer:

The solution to the system of equations is x=1/5 y= 0

Step-by-step explanation:

solving this system of equation using substitution method

5x-y=1 ….. equation (1)

-10x + 2y =-2 ….. equation (2)

Solving for value of x from equation 2

-10x =-2-2y

so x= -2-2y/-10 = - 2(1+y)/-10=

so x = 1+y/5......... equation 3

The second equation is solved for x, so we can substitute the expression 1+y/5 in for x in the first equation (1)

-10(1+y)/5+2y=-2

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

-2-2y= -2

-2y= -2+2

y=0

Putting value of y in equation 3

x = 1+y/5.

x= 1+ 0/5 = 1/5

The solution to the system of equations is x=1/5 y= 0

We can check our work by plugging these numbers back into the original equations. Let's try 5x-y=1

5(1/5)-0=1

1 -0= 1

1=1

Yes, our solution checks out.

You might be interested in

It cost $76.86 to redecorate Wiley’s room. Wiley’s mother let Wiley spend some of the money on posters. The bedspread and rugs c

mamaluj [8]

A is the answer bassically

5 0

3 years ago

Read 2 more answers

I will mark brainliest! Order the following numbers from least to greatest.

Mrrafil [7]

$-5,1;-\frac{14}{3} ;-4$

6 0

3 years ago

Read 2 more answers

So I'm still trying to figure out but tell me. What are two demicals rounded to 1.5

Andrej [43]

451.76 and <span>451.7576 these two</span>

7 0

3 years ago

A roll of steel is manufactured on a processing line. The anticipated number of defects in a 10-foot segment of this roll is two

Vikentia [17]

Answer:

the probability of no defects in 10 feet of steel = 0.1353

Step-by-step explanation:

GIven that:

A roll of steel is manufactured on a processing line. The anticipated number of defects in a 10-foot segment of this roll is two.

Let consider β to be the average value for defecting

So;

β = 2

Assuming Y to be the random variable which signifies the anticipated number of defects in a 10-foot segment of this roll.

Thus, y follows a poisson distribution as number of defect is infinite with the average value of β = 2

i.e

$Y \sim P( \beta = 2)$

the probability mass function can be represented as follows:

$\mathtt{P(y) = \dfrac{e^{- \beta} \ \beta^ \ y}{y!}}$

where;

y = 0,1,2,3 ...

Hence, the probability of no defects in 10 feet of steel

y = 0

$\mathtt{P(y =0) = \dfrac{e^{- 2} \ 2^ \ 0}{0!}}$

$\mathtt{P(y =0) = \dfrac{0.1353 \times 1}{1}}$

P(y =0) = 0.1353

4 0

3 years ago

The capacity of an elevator is 12 people or 2088 pounds. the capacity will be exceeded if 12 people have weights with a mean gre

boyakko [2]

suppose the people have weights that are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.

Find the probability that if a person is randomly selected, his weight will be greater than 174 pounds?

Assume that weights of people are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.

Mean = 177

standard deviation = 26

We find z-score using given mean and standard deviation

z = $\frac{x-mean}{standard deviation}$

= $\frac{174-177}{26}$

=-0.11538

Probability (z>-0.11538) = 1 - 0.4562 (use normal distribution table)

= 0.5438

P(weight will be greater than 174 lb) = 0.5438

8 0

3 years ago