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
vitfil [10]
3 years ago
14

How many solutions does the system of equations below have? x − 4y = 6 2x − 8y = 12

Mathematics
1 answer:
bearhunter [10]3 years ago
8 0

Answer:

x = 4y + 6

Step-by-step explanation:

x-4y=6

2x-8y=12

multiply 2 on both side in equation 1, and multiple - on both side in equation 2:

2x-4x=12

-2x+8y=-12

so the equation becomes:

4y=0

y=0

put the value of y in both of the equations:

x=6 equation 1

x=6 equation 2

so,

x = x

then,

x = 4y + 6 equation 1

-2 ( x - 4y ) = -12

x - 4y = -12/ -2

x - 4y = 6

x = 4y + 6

so the ans is:

x = 4y +6

You might be interested in
QUICKLY HELP! Which relationship between x and y in the equation shows a proportional relationship?
Darina [25.2K]
Y = 12x is a direct variation which is a proportion.
As x increases y also increases.
3 0
3 years ago
What is the degree of angle e and g
Zina [86]

Answer:

e=g = 126 degree

Step-by-step explanation:

e = g (opposite angles's property)

g+ b = 180 ( supplementary angles's property)

b = 54 degree (opposite angles's property)

-> g = 180-54 = 126

-> e = 126 degree

3 0
3 years ago
Read 2 more answers
How to prove this???
swat32
\cos^3 2A + 3 \cos 2A \\
\Rightarrow \cos 2A (\cos^2 2A + 3) \\
\Rightarrow (\cos^2 A - \sin^2 A) (\cos^2 2A + 3)  \\
\Rightarrow (\cos^2 A - \sin^2 A) (1 - \sin^2 2A + 3) \\
\Rightarrow (\cos^2 A - \sin^2 A) (4 - \sin^2 2A) \\
\Rightarrow (\cos^2 A - \sin^2 A) (4 - (2\sin A \cos A)(2\sin A \cos A)) \\
\Rightarrow (\cos^2 A - \sin^2 A) (4 - 4\sin^2 A \cos^2 A) \\ 
\Rightarrow 4(\cos^2 A - \sin^2 A) (1 - \sin^2 A \cos^2 A) 


go to right side now

4( \cos^6 A - \sin^6 A)\\
\Rightarrow 4( \cos^3 A - \sin^3 A)(\cos^3 A + \sin^3 A)

use x^3 - y^3 = (x-y)(x^2 + xy + y^2) and x^3 + y^3 = x^2 - xy + y^2

4( \cos^6 A - \sin^6 A)\\ \Rightarrow 4( \cos^3 A - \sin^3 A)(\cos^3 A + \sin^3 A) \\
\Rightarrow  4(\cos A - \sin A)(\cos^2 A + \cos A \sin A + \sin^2 A) \\
~\quad  \quad\cdot ( \cos A + \sin A)(\cos^2 A - \cos A \sin A + \cos^2 A)

so \sin^2 A + \cos^2 A = 1

4( \cos^6 A - \sin^6 A)\\ \Rightarrow 4(\cos A - \sin A)(\cos^2 A + \cos A \sin A + \sin^2 A) \\ ~\quad \quad\cdot ( \cos A + \sin A)(\cos^2 A - \cos A \sin A + \cos^2 A) \\ \Rightarrow 4(\cos^2 A - \sin^2 A)(1 + \cos A \sin A )(1- \cos A \sin A ) \\ \Rightarrow 4(\cos^2 A - \sin^2 A)(1 - \cos^2 A \sin^2 A )\\ \Rightarrow 4(\cos^2 A - \sin^2 A)(1 - \sin^2 A \cos^2 A ) \\
 \Rightarrow Left hand side
4 0
3 years ago
HELP ASAP: Donald were temes as old as he was five years ago, he will be ten less than two times his age now. How old is Donald?
vredina [299]
He will be 30 years old.
4 0
4 years ago
Find the standard form Center and radius of the following circles:<br><br>4x^2 + 4y^2 + 36y + 5 = 0
bogdanovich [222]
Circle equation:

(x-a)^2 + (y-b)^2 = r^2

x^2 - 2ax + a^2 + y^2 - 2by + b^2 = r^2

x^2 + y^2 + a^2 + b^2 - 2ax - 2by - r^2 = 0
_______________________

4x^2 + 4y^2 + 36y + 5 = 0

4x^2 + 4y^2 + 36y + 5 +0x + 0y = 0

(-2ax = 0x)

-2a = 0

a = 0

(-2by = 0y)

-2b = 0

b = 0

____________________

And now:

a^2 + b^2 - r^2 = 5

0^2 + 0^2 - r^2 = 5

0+0-r^2 = 5

r^2 = -5

Since there is no negative radius, we say that it is not an equation of a circle
3 0
3 years ago
Other questions:
  • 2 over 7x +8=22 solve for x
    13·1 answer
  • The measure 62centimeters is equivalent to 62/100 meter.what is this measure written as a decimal
    10·1 answer
  • WILL MARK BRAINLIEST!
    8·1 answer
  • To play at bingo night there’s a $10 cover charge +2 dollar per bingo card. Write an equation for the cost (y) based on the numb
    15·1 answer
  • Describe two different cross section shapes that can be formed by slicing a cone
    11·1 answer
  • 3a^2-7a+6= <br> ( for a= -2 )
    14·2 answers
  • What is the axis of symmtry
    7·2 answers
  • Use the graph to determine the input value for
    5·2 answers
  • What is 3/4 x 2/4 use a number line to help you solve​
    15·1 answer
  • Help me please please please!!!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!