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
WITCHER [35]
2 years ago
8

- 3х - 4y = 15 7x+y= 4 Substitution

Mathematics
1 answer:
Darya [45]2 years ago
3 0

Answer:

3x-4y=15

7x+y=4

Solve7x+y=4 for y:

7x+y=4

7x+y+−7x=4+−7x (Add -7x to both sides)

y=−7x+4

Step: Substitute −7x+4 for y in 3x−4y=15:

3x−4y=15

3x−4(−7x+4)=15

31x−16=15 (Simplify both sides of the equation)

31x−16+16=15+16 (Add 16 to both sides)

31x=31

(Divide both sides by 31)

x=1

Step: Substitute 1 for x in y=−7x+4:

y=−7x+4

y=(−7)(1)+4

y=−3(Simplify both sides of the equation)

Answer: x=1 and y=−3

You might be interested in
Find the distance between each pair points (-5,3) , (-4,-5)?
MrRa [10]

Answer:

\sqrt{65}

Step-by-step explanation:

distance between two points:

d=\sqrt{(x_{2}-x_{1})^{2}+( y_{2}-y_{1})^{2}}

we have:

d=\sqrt{(-4-(-5))^{2}+(-5-3)^{2}} \\\\d=\sqrt{1^{2}+(-8)^{2}} \\\\d=\sqrt{65}

4 0
3 years ago
The sum of two numbers is 24. The difference is 15. What are the two numbers?
tatiyna
The numbers are "x" and "y",
we suggest this system of equations.
x+y=24
x-y=15
solve by reduction method.
x+y=24
x-y=15
-----------------
2x=39      ⇒x=39/2=19.5

  x+y=24
-(x-y=15)
-------------------
   2y=9    ⇒y=9/2=4.5

The numbers are 19.5 and 4.5

To check
19.5+4.5=24
19.5-4.5=15
3 0
3 years ago
Find the first six terms of the sequence. a1 = 1, an = 4 • an-1
maksim [4K]
\bf \begin{array}{ccllll}
n&term&value\\
---&-----&-----\\
1&a_1&1\\
2&a_2&4\cdot a_{2-1}\\
&&4\cdot a_1\\
&&4\\
3&a_3&4\cdot a_{3-1}\\
&&4\cdot a_2\\
&&16\\
4&a_4&4\cdot a_{4-1}\\
&&4\cdot a_3\\
&&64\\
5&a_5&4\cdot a_{5-1}\\
&&4\cdot a_4\\
&&256\\
6&a_6&4\cdot a_{6-1}\\
&&4\cdot a_5\\
&&1024
\end{array}
3 0
3 years ago
15% of 72 is ______​
BigorU [14]

Answer: convert 15% to a decimal. 0.15 times 75 is 11.25

Converting Percentages to Decimals

Easiest—divide by 100: The simplest way to convert a percentage to a decimal is to divide the number (in percentage format) by 100.

Move the decimal: Another way to convert a quoted percentage to decimal format is to move the decimal two places to the left

6 0
3 years ago
I'm in a test please help
Margaret [11]

Select ALL the correct answers. A bicycle manufacturer uses the given expression to model the monthly profit from sales of a new model of bicycle, where x is the selling price of one bicycle, in dollars. -12 + 3001 20,000 At what selling prices for the bicycle will the manufacturer make neither a profit nor a loss? $50

answer 250

8 0
3 years ago
Other questions:
  • What type of function is represented below the tables of value??
    15·1 answer
  • There are 200 cars in the parking lot,how many more cars are red than blue
    8·1 answer
  • A 78​% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and as
    8·1 answer
  • which dimensions cannot create a triangle? Three angles measuring 10, 25, and 145, three sides measuring 9m,15m, and 9m, three s
    9·2 answers
  • What is the perimeter of the rectangle below?
    13·2 answers
  • The number of subscribers y to a newspaper after t years is shown by the equation below:
    12·1 answer
  • Find the slope.make sure to reduce
    9·1 answer
  • Solve using substitution.<br> Y = -x + 1<br> y = -2x + 8
    10·1 answer
  • ✨Could ✨someone✨help ✨me ✨with ✨this? ✨It ✨would ✨be ✨much ✨appreciated✨
    8·2 answers
  • 12192 divided by 48 = ?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!