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schepotkina [342]
3 years ago
8

Define a substitution method to solve the followingsysten of equation of y=2x-3, x+y=1

Mathematics
1 answer:
Ivan3 years ago
7 0
I will solve you system by substitution

y = 2x - 3 ; x + y = 1

→Step 1: Solve y = 2x - 3 for y

→Step 2: Substitute 2x - 3 for y in x + y = 1:

x + y = 1 

x + 2x- 3 = 1

3x - 3 = 1 (Simplify both sides of the equation)

3x - 3  + 3 = 1 + 3 (Add 3 both sides)

3x = 4 
 
3x ÷ 3 = 4 ÷ 3 (Divide each side by 3)

x = 4/3

→Step 3: Substitute 4/3 for x in y = 2x - 3:  

y = 2x - 3 

y = 2 (4/3) -3 

y = -1/3 (Simplify both sides of the equation)

Answer: 

x = 4/3 and y = -1/3

∫Hope that helps∫
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Caroline walked 3 miles to warm up. She then ran at a rate of 7 miles per hour. Find the total
Alex

Answer:

14 miles

added with the miles she warmed up is 17 miles

5 0
3 years ago
Read 2 more answers
15. a music concert is organized at a memorial auditorium. the first row of the auditorium has 16 seats, the second row has 24 s
Drupady [299]

The equation for the nth term in the arithmetic sequence is   8n + 8.

The number of people that can be accommodated in the 16th row is 136.

<h3>What is an  arithmetic progression?</h3>

Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Given that,

No. of seats in first row = 16

No. of seats in second row = 24

No. of seats in third row = 32

Total number of rows = 50

It forms an arithmetic progression

First term = a = 16

common difference d = 8

Number of terms, n = 50

(A) The formula for the n th term of an arithmetic progression is given by

Tn = a + (n - 1) d

    = 16 + (n-1) 8

    = 16 + 8n - 8

Tn = 8n + 8

(B) Now,

n = 16

The number of seats in 16 th row is given by

T(16) = 8 x 16 + 8

T(16) = 136 seats

Hence, (A)The equation for the nth term in the arithmetic sequence is   8n + 8. and (B) The number of people that can be accommodated in the 16th row is 136.

To learn more about arithmetic progression  from the given link:

brainly.com/question/24205483

#SPJ4

4 0
1 year ago
The amount of gasoline sold each month to customers at Bob's Exxon station in downtown Navasota is a random variable. This rando
swat32

Answer:

The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month

P(X≥ 2800) = P(Z₁≥1.5) = 0.0768

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Mean of the Population (μ) = 2500 gallons

Standard deviation of the population (σ) =200 gallons

Let 'X' be a random variable in Normal distribution

Given X = 2800

Z = \frac{x-mean}{S.D} = \frac{2800-2500}{200} = 1.5

<u><em>Step(ii):-</em></u>

The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month

P(X≥ 2800) = P(Z₁≥1.5)

                  = 0.5 - A(Z₁)

                 =  0.5 - A(1.5)

                 =   0.5 -0.4232    ( from normal table)

                = 0.0768

<u><em>Conclusion</em></u>:-

The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month

P(X≥ 2800) = P(Z₁≥1.5) = 0.0768

               

3 0
3 years ago
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4 0
3 years ago
Can someone explain to me better on identifying linear functions? Like how would I know the difference when identifying them? Ar
Margaret [11]

Answer:

A  linear function is a straight line and a non-linear function is not a straight line.

Step-by-step explanation:

7 0
3 years ago
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