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
victus00 [196]
3 years ago
11

Consider the following pair of equations: y = −2x 8 y = x − 1 Explain how you will solve the pair of equations by substitution.

Show all the steps and write the solution in (x, y) form.
Mathematics
2 answers:
NARA [144]3 years ago
8 0
If so y= -2x and 8y=x-1...

solution:

y=-2x \\  \\ 8y=x-1 \Rightarrow \\  \\  8.(-2x)=x-1 \Rightarrow \\  \\  -16x=x-1 \Rightarrow \\  \\  17x=1 \Rightarrow \\  \\  x=\dfrac{1}{17}


givi [52]3 years ago
5 0

Step-by-step explanation:

Consider the following pair of equations: y = −2x 8 y = x − 1 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

You might be interested in
Elizabeth drove 192 miles in 4.5 hours. how many miles could she drive at this rate in 3 hours
Alex73 [517]

Answer:

128

Step-by-step explanation:

3 0
3 years ago
3 times a number is 42 what is the number?
oksano4ka [1.4K]


the number would be 14.

in order for you to figure this out you divide.

42/3=14  and

14 * 3 = 42

hope this helps.

4 0
3 years ago
Read 2 more answers
Find sin theta if theta is an angle in standard position and the point with coordinates (3, -4) lies on the terminal side of an
alisha [4.7K]

Answer:

\sin \theta=-\frac{4}{5}

Step-by-step explanation:

Given:

Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).

So, the 'x' value is 3 and 'y' value id -4.

Using Pythagoras Theorem, we find the hypotenuse.

Hypotenuse = \sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5

Now, using the sine ratio for the angle, we have

\sin \theta=\frac{Opposite}{Hypotenuse}\\\sin \theta=\frac{-4}{5}\\\sin \theta=-\frac{4}{5}

Therefore, the value of \sin \theta is -\frac{4}{5}.

The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,

4 0
3 years ago
PLZZ HELP!! Answer questions 1-8 plzz. Only answer if you know it.
Mashcka [7]
1)  $2
2)  29
3)  8
4)  $20
5)  $12
6)  4
7)  $8 8)  5
7 0
4 years ago
Read 2 more answers
Factor completely 15x2 - 6x + 5xy – 2y
vagabundo [1.1K]

The complete factorization of 15x² - 6x + 5xy - 2y is (5x - 2)(3x + y)

Step-by-step explanation:

If we have an expression of four terms, then we factorize it by using

the grouping factorization

In grouping factorization we do that

1. Collect each two terms with common factors into 2 brackets

2. Take the common factor from each bracket, which make the brackets

    equal each other

3. Take the bracket as a common factor, the answer will be 2 factors

    multiply by each other

∵ The expression is 15x² - 6x + 5xy - 2y

- Take the first 2 terms in a bracket and the last 2 terms in another

  bracket

∴ (15x² - 6x) + (5xy - 2y)

∵ The common factor of 15x² and 6x is 3x

- Divide each term by 3x

∵ 15x² ÷ 3x = 5x

∵ 6x ÷ 3x = 2

∴ (15x² - 6x) = 3x(5x - 2)

∵ The common factor of 5xy and 2y is y

- Divide each term by the common factor y

∵ 5xy ÷ y = 5x

∴ 2y ÷ y = 2

∴ (5xy - 2y) = y(5x - 2)

∴ (15x² - 6x) + (5xy - 2y) = 3x(5x - 2) + y(5x - 2)

∵ The bracket (5x - 2) is a common factor of the two terms

- Divide each term by the common factor (5x - 2)

∵ 3x(5x - 2) ÷ (5x - 2) = 3x

∵ y(5x - 2) ÷ (5x - 2) = y

∴ 3x(5x - 2) + y(5x - 2) = (5x - 2)(3x + y)

∴ 15x² - 6x + 5xy - 2y = (5x - 2)(3x + y)

The complete factorization of 15x² - 6x + 5xy - 2y is (5x - 2)(3x + y)

Learn more:

You can learn more about the factors in brainly.com/question/10771256

#LearnwithBrainly

4 0
3 years ago
Other questions:
  • Find the next number in the sequence 2, -4, 8, -16, 32
    8·2 answers
  • Sample mean (M) = 50 Population mean (µ) = µM = 47 Sample standard deviation (s) = 4 Sample size (N) = 25 Based on this informat
    12·1 answer
  • How do you solve this
    10·1 answer
  • phobe, Andy and polly share £270 phobe gets 3 times as much as Andy who gets twice as much as polly work out how much they each
    8·1 answer
  • 13 units find area of sector EFG.
    11·1 answer
  • Answer quickly pls ill mark brainliest
    8·2 answers
  • This penny will double every day for the next 30 days. What is the answer? Can someone tell me at least how to set up the doubli
    12·1 answer
  • I need help with this question ASAP
    10·1 answer
  • Half the sum of a number and 1.75 is −5.1. Enter your answer as a simplified mixed number
    10·1 answer
  • A music website charges x​ dollars for individual songs and y dollars for entire albums. Person A pays $25.92 to download 6 indi
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!