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
scoundrel [369]
3 years ago
6

Solve the following system of equations:

Mathematics
2 answers:
Gnoma [55]3 years ago
6 0
We have two equation with two unknowns. Therefore, we can solve the x and y easily. There are a number of methods to apply here but I will be using substitution method. We do as follows:

-2x + y = 1
y = 1 + 2x

4x + y = -1
4x + 1 + 2x = -1
6x = -1 -1
6x = -2
x = -1/3

y= 1 + 2(-1/3)
y = 1/3
jarptica [38.1K]3 years ago
5 0

Answer:

The solution for the given  system of equations is (\frac{-1}{3},\frac{1}{3})

Step-by-step explanation:

Given system of equation

 -2x + y = 1   ......(1)

  4x + y = -1   ......(2)

We have to find the solution for the given  system of equations.

We use elimination method,

In elimination method we make the coefficient of one variable same and then eliminate that variable by using suitable operation, and then solve for other variable.

Subtract equation (1) from  (2) , we get,

⇒ 4x + y - ( -2x + y) = -1 - 1  

⇒ 4x + y + 2x - y = -1 - 1  

⇒ 4x + 2x = -2

⇒ 6x = -2

⇒ x=\frac{-1}{3}

Substitute x=\frac{-1}{3} in (1) , we get,

-2x + y = 1 \Rightarrow -2(\frac{-1}{3} )+y=1 \Rightarrow (\frac{2}{3} ) + y = 1\\\\\Rightarrow y= 1-(\frac{2}{3} ) \Rightarrow y=(\frac{1}{3} )

Thus, The solution for the given  system of equations is (\frac{-1}{3},\frac{1}{3})

You might be interested in
2/3 + 1/2 <br> i just want to give some points away
goldfiish [28.3K]
Answer: 7/6, 1 and 1/6, or 1.16


Step by step explanation:

2/3 + 1/2

4+3/6

7/6
6 0
2 years ago
Read 2 more answers
Which expression is equivalent to StartFraction 2 a + 1 Over 10 a minus 5 Endfraction divided by StartFraction 10 a Over 4 a squ
const2013 [10]

Answer:

\frac{(2a + 1)^2}{50a}

Step-by-step explanation:

Given

\frac{2a + 1}{10a - 5} / \frac{10a}{4a^2 - 1}

Required

Find the equivalent

We start by changing the / to *

\frac{2a + 1}{10a - 5} / \frac{10a}{4a^2 - 1}

\frac{2a + 1}{10a - 5} * \frac{4a^2 - 1}{10a}

Factorize 10a - 5

\frac{2a + 1}{5(2a - 1)} * \frac{4a^2 - 1}{10a}

Expand 4a² - 1

\frac{2a + 1}{5(2a - 1)} * \frac{(2a)^2 - 1}{10a}

\frac{2a + 1}{5(2a - 1)} * \frac{(2a)^2 - 1^2}{10a}

Express (2a)² - 1² as a difference of two squares

Difference of two squares is such that: a^2- b^2= (a+b)(a-b)

The expression becomes

\frac{2a + 1}{5(2a - 1)} * \frac{(2a - 1)(2a + 1)}{10a}

Combine both fractions to form a single fraction

\frac{(2a + 1)(2a - 1)(2a + 1)}{5(2a - 1)10a}

Divide the numerator and denominator by 2a - 1

\frac{(2a + 1)((2a + 1)}{5*10a}

Simplify the numerator

\frac{(2a + 1)^2}{5*10a}

\frac{(2a + 1)^2}{50a}

Hence,

\frac{2a + 1}{10a - 5} / \frac{10a}{4a^2 - 1} = \frac{(2a + 1)^2}{50a}

4 0
3 years ago
The polygons below are similar... please help I will mark you brainliest thank youuuu
antiseptic1488 [7]

Answer:

y=27 and x=9

Step-by-step explanation:

the ratio is 4 to 3

3 0
3 years ago
Write an explicit formula for a^n the nth term of the sequence 1,3,9....
frutty [35]

Answer:

  a_n = 3^(n -1)

Step-by-step explanation:

The n-th term of a geometric sequence with first term a1 and common ratio r is given by ...

  a_n = a1·r^(n-1)

Your sequence has first term 1 and ratio r=3, so the sequence is given by ...

  a_n = 3^(n -1)

_____

<em>Comment on sequences and series</em>

The sequences we commonly study are "arithmetic" and "geometric." Each of these has an explicit formula for the n-th term, based on the first term and the common difference or ratio. Similarly, each series (sum of terms of a sequence) also has a formula. That's 4 formulas to keep track of; not difficult. One of them, the formula for the n-th term of a geometric sequence, is shown above.

7 0
3 years ago
373 of 500 in fractions and decimal
Orlov [11]
373\ of\ 500:\\\\\boxed{\frac{373}{500}}=\frac{373\cdot2}{500\cdot2}=\frac{746}{100}=\boxed{0.746}
5 0
2 years ago
Other questions:
  • There are 9 different colors of paint to choose from. Out of the 9 colors, how many ways can 4 different colors be chosen?
    15·2 answers
  • Eddie is reading a book for class. He has read 173 of 480 pages. About What percent has he read?
    15·1 answer
  • If sin 115 degrees≈ 0.91 and cos 115 degrees = -0.42, then sin -115 = ____ and cos -115 degrees =_____
    12·1 answer
  • 7 x 6<br><img src="https://tex.z-dn.net/?f=6%20%5Ctimes%207" id="TexFormula1" title="6 \times 7" alt="6 \times 7" align="absmidd
    7·1 answer
  • What's 43.396 divided by 57.1? Still confused for this one :(
    5·2 answers
  • The height of a box is 5 inches. It’s length is 5 inches more than it’s width. Find the length if the volume is 120.
    15·1 answer
  • The formula for the volume of a rectangular prism is V = lwh. Which is the equivalent equation solved for h? StartFraction V Ove
    11·2 answers
  • Is 3x+2y=8 a quadratic equation?
    15·1 answer
  • What is the y-intercept of the line?
    15·1 answer
  • Point A is located at (0, 4), and point B is located at (−2, −3). Find the x value for the point that is 1 over 4 the distance f
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!