1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Makovka662 [10]
3 years ago
5

Solve the following system of equations using the substitution method 5x+3y=1 X+2y=3

Mathematics
2 answers:
DedPeter [7]3 years ago
4 0

Answer:

  (x, y) = (-1, 2)

Step-by-step explanation:

Substitution is easier if you already have an expression for the variable you want to make a substitution for. Here, we don't have that, but we have an equation with x having a coefficient of 1. We can use that to write an expression for x:

  x = 3 -2y . . . . . subtract 2y from both sides of the second equation

  5(3 -2y) +3y = 1 . . . . substitute for x in the first equation

  15 -10y +3y = 1 . . . . . eliminate parentheses

  -7y = -14 . . . . . . . . . . subtract 15, collect terms

  y = 2 . . . . . . . . . . . . . divide by -7

Use this value in the equation for x:

  x = 3 -2(2)  = -1

The solution is (x, y) = (-1, 2).

max2010maxim [7]3 years ago
3 0

Answer:

x= -1  

y= 2

Step-by-step explanation:

You might be interested in
The splitting apart of one cell to form two new cells is called
Rzqust [24]
The answer is A) Mitosis
7 0
3 years ago
A recent study claims that business travelers spend an average of $39 per day for meals. A sample of 15 business travelers found
4vir4ik [10]

Answer:

The test statistic value 't' = 3.074

Step-by-step explanation:

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

Given sample size 'n' = 15

mean of the Population 'μ' =  $39

mean of the sample x⁻ =  $42

standard deviation of the sample 's' =  $3.78

Degrees of freedom ν = n-1 = 15-1 =14

t_{\frac{\alpha }{2} } = 1.769

Null hypothesis : There is no significance difference between the means

H₀ :  x⁻  =  'μ'

Alternative hypothesis : There is significance difference between the means

H₀ :  x⁻ ≠  'μ'

<u><em>Test statistic </em></u>  

t = \frac{x^{-} -mean}{\frac{s}{\sqrt{n} } }

t = \frac{42 -39}{\frac{3.78}{\sqrt{15} } }

<em>t = 3.074</em>

The test value of t-statistic  <em>t = 3.074</em>

<em>The calculated value </em>  <em>t = 3.074 > 1.769 at 0.05 level of significance</em>

<em>null hypothesis is rejected</em>

<em>Alternative hypothesis is accepted</em>

<u><em>Final answer</em></u><em>:-</em>

There is significance difference between the means

<em></em>

4 0
3 years ago
What is the solution to the following equation?<br><br> 5(2x –6) + 20 = 10
Igoryamba

Answer:

Step-by-step explanation:

Simplifying

5(2x + -6) + 20 = 10

Reorder the terms:

5(-6 + 2x) + 20 = 10

(-6 * 5 + 2x * 5) + 20 = 10

(-30 + 10x) + 20 = 10

Reorder the terms:

-30 + 20 + 10x = 10

Combine like terms: -30 + 20 = -10

-10 + 10x = 10

Solving

-10 + 10x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 10x = 10 + 10

Combine like terms: -10 + 10 = 0

0 + 10x = 10 + 10

10x = 10 + 10

Combine like terms: 10 + 10 = 20

10x = 20

Divide each side by '10'.

x = 2

Simplifying

x = 2

3 0
2 years ago
Read 2 more answers
Alison wants to distribute the carnations and roses equally among the 6 flower shops. Factor the expression from Part A using 6
mixer [17]

Answer:

6

Step-by-step explanation:

3 0
3 years ago
I need help on my math
artcher [175]
The answer is A because that is the only answer that shows that it starts off with 100 because thats part of the range.
 
                    I Really hope this helped you!!!!
                                            -kat


3 0
3 years ago
Other questions:
  • CAN SOMEONE HELP ME PLEASEEE
    14·2 answers
  • If the sum of a number and seven is doubled, the result is one less than the number. find the number
    11·1 answer
  • If f(3)=2x^3 -2 , what is the value of f(2)
    10·1 answer
  • A closed cylindrical can of fixed volume V has radius r.a) Find the surface area, S, as a function of r.b) What happens to the v
    14·1 answer
  • Need help on this question
    11·1 answer
  • Since beth was born, the population of her town has increased at a rate of 850 people per year. On beth 9ths birthday, the total
    6·2 answers
  • if you have 3,500 after 10 years on an investment that pays 3.5% compounded daily, what was the principle amount you started wit
    13·1 answer
  • Find the sides marked with letters:<br>m = ? z = ?<br><br>​
    9·1 answer
  • Find the missing side lengths . Leave your answers as radicals in simplest form.
    13·1 answer
  • PLEASE HELP ASAP SEE THE PICTURE!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!