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
damaskus [11]
3 years ago
5

What is the solution to the system of equations

Mathematics
1 answer:
vitfil [10]3 years ago
5 0

Answer:

Step-by-step explanation:

Hello

I believe there is an error in the question

we have two equations and need to find x and y

(1) \dfrac{1}{4}x+\dfrac{1}{2}y=\dfrac{5}{8}\\(2) \dfrac{3}{4}x-\dfrac{1}{2}y=3\dfrac{3}{8}

let s multiply by 8 so that we can get rid of the fractions

(1) becomes 2x+4y=5

(2) becomse 6x-4y=9

if we sum it gives

2x+4y+6x-4y=9+5

8x=14

x = 14/8 = 7/4

and then from the first equation

4y = 5 - 7/4

<=> 16y = 20-7 = 13

y = 13/16

the solutions is (7/4,13/16)

You might be interested in
What are the roots of the polynomial equation x3 - 6x = 3x2 - 8? Use a graphing calculator and a system of equations.
makkiz [27]

Answer:

d : 4, 1, -2.

Step-by-step explanation:

There's no need for a calculator in my opinion because we can use the rational root theorem which states that the equations of this form:

\sum_{i=0}^{n} a_{i}x^i = 0 = a_{0} + a_{1}x + a_2x^2 + ... + a_nx^n = 0\\ a_i \in \mathbb{Z}

Have rational roots, than the roots are of the form: \frac{k \cdot a_o}{p \cdot a_n}, \ where \ k, p \in \mathbb{Z}.

Rewriting the equation we have:

x^3 - 3x^2 -6x + 8 = 0\\By \ our\ previous \ claim \ x \in D_8 \ where \ D_n \ the \ set \ of \ divisors \ of \ n.\\D_8 = \{\pm 1, \pm 2, \pm 4, \pm 8\} \\We \ plug \ in \ some \ number from \ D_8.\\Letting \ x = -2;\\(-2)^3 -3(-2)^2 -6(-2) + 8 = 0 \ \ \ Thus \ x+2 \ is \ a \ factor.\\We \ can \ now \ simplify \ the \ eq. \ using \ Polynomial \ Long \ Division.

x^3 -3x^2 -6x + 8 = (x+2)(Q(x))\\To \ find \ Q \ we \ divide \ the \ original \ equation \ by \ x + 2; which \ yields:\\Q(x) = x^2 - 5x + 4.\\So \ we \ can \ use \ the \ quadratic \ formula \ to \ find \ the \ roots:\\x = 4,x = 1. \\Thus \ x \in \{-2, 1, 4\}. \ \ These \ are \ all \ the \ roots.

5 0
4 years ago
4(x+1.5)=38 solve for x
Kitty [74]

Answer:

x = 8

Step-by-step explanation:

4(x+1.5)=38

Distribute the 4

4x +6 = 38

Subtract 6 from each side

4x+6-6 = 38-6

4x = 32

Divide each side by 4

4x/4 = 32/4

x = 8

3 0
4 years ago
Your boss hands you a memo with a summary of the monthly data.
lisov135 [29]

Functions are used to represent tables and equations

  • The function that represents the number of imports is f(x) = 2x
  • The function that represents the number of exports is f(x) = 2 + x

<h3>How to determine the import function</h3>

From the table, we can see that the values of the import is twice the number of months

This is represented as:

y = 2x

Rewrite as a function

f(x) = 2x

Hence, the function that represents the number of imports is f(x) = 2x

<h3>How to determine the export function</h3>

From the table, we can see that the values of the export is two more than the number of months

This is represented as:

y = 2 + x

Rewrite as a function

f(x) = 2 + x

Hence, the function that represents the number of exports is f(x) = 2 + x

Read more about linear functions at:

brainly.com/question/15602982

7 0
3 years ago
Which of the following is a function?
otez555 [7]

Answer:

b.

Step-by-step explanation:

The expression b is a function because the x values are all different.

In fact it is a one-to-one function as there is a different value of y for each value of x.

7 0
3 years ago
Read 2 more answers
What is 5/4x+6? It’s an algebra operation
Jlenok [28]
Well x is going to be 7 1/4. have a great day and hoped that helped!
5 0
4 years ago
Other questions:
  • PLEASE EXPLAIN!!! NEED HELP!!
    13·1 answer
  • A parabola has its vertex at (2, 1) and crosses the x-axis at (1,0) anu al l
    12·1 answer
  • (1.7)(1.7) what does this equal
    12·1 answer
  • A baby gains 11 pounds in its first year of life. The baby gained 4 1/4 pounds during the first four months and 3 1/2 pounds in
    14·1 answer
  • Please help please please
    12·1 answer
  • What is the best way to find the length of the arc
    10·1 answer
  • One triangle has a weight of 6 grams. What is the weight of one square?
    6·2 answers
  • Can somebody help me? Thank you!
    14·1 answer
  • Jada is making a square pen for her rabbit to play in. Each side of the pen is 8 feet long. The formula for the area of a square
    9·1 answer
  • Help me plsssssssssssss
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!