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
Katena32 [7]
3 years ago
6

Someone ask me to solve this.

Mathematics
1 answer:
Semenov [28]3 years ago
6 0
X=2h, y=3k

Substitute these values into equations.

y+2x = 4 ------> 3k+2*2h=4 ----->  3k +4h =4

2/y - 3/2x = 1-----> 2/3k -3/(2*2h) = 1 ------> 2/3k - 3/4h =1

We have a system of equations now.

 3k +4h =4          ------> 3k = 4-4h ( Substitute 3k in the 2nd equation.)
2/3k - 3/4h =1

2/(4-4h) -3/4h = 1
2/(2(2-2h)) - 3/4h = 1
1/(2-2h) -3/4h - 1=0

4h/4h(2-2h) -3(2-2h)/4h(2-2h) - 4h(2-2h)/4h(2-2h) =0

(4h- 3(2-2h) - 4h(2-2h))/4h(2-2h) = 0
Numerator should be = 0
4h- 3(2-2h) - 4h(2-2h)=0

Denominator cannot be = 0
4h(2-2h)≠0

Solve equation for numerator=0
4h- 3(2-2h) - 4h(2-2h)=0
4h - 6+6h-8h+8h² =0
8h² +2h -6=0
4h² + h-3 =0
(4h-3)(h+1)=0
4h-3=0, h+1=0
h=3/4  or h=-1

Check which
4h(2-2h)≠0
1) h= 3/4  , 4*3/4(2-2*3/4)=3*(2-6)= -12 ≠0, so we can use h= 3/4
2)h=-1, 4(-1)(2-2*(-1)) =-4*4=-16 ≠0, so we can use h= -1, also.

h=3/4, then  3k = 4-4*3/4 =4 - 3=1 , 3k =1, k=1/3
h=-1, then  3k = 4-4*(-1) =8 , 3k=8, k=8/3 

So,
if h=3/4, then  k=1/3,
and if h=-1, then  k=8/3 .




You might be interested in
Could you answers the question?
Sindrei [870]
1.Austion bc he is taking more time
2. 1/2 of the stair case
3.the whole stair case
4.Dylan
5. Dylan he takes the same jumps just skips steps and jumps further and higher
7 0
3 years ago
What is the solution to 2x-8 <12​
Nookie1986 [14]

Step-by-step explanation:

2x-8<12

+8<+8

2x<20

\frac{2x}{2}  \frac{20}{2}

x<10

4 0
2 years ago
How would you simplify 5-6w-4+7w?
Natasha2012 [34]
You add the like terms. In this case, the like terms are -6w,+7w & 5,-4.
-6w + 7w = 1w.
5 - 4 = -1.
The coefficients (terms with variables - letters) comes firm, then the terms (numbers) 
.
so the final answer is: 1w -1   :)
6 0
3 years ago
FREE BRAINLIEST
DedPeter [7]

Answer:

y = 6x -2

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Which of the following does NOT represent a function ?
Veseljchak [2.6K]

Answer:. C is not a function.

Step-by-step explanation: If there is more than one y-value for each x-value, it can't be a function. The elipse has two y-values for each x.

8 0
3 years ago
Other questions:
  • ben wants to build a fence he has 22 yards of material his garden is 6 3\4 by 4 2\3 does he have enough material
    11·1 answer
  • A catering company charges a $300 set up fee and $10 per person for a lunch buffet. Approximately how many people must attend th
    5·2 answers
  • Peter makes $7,000 a month plus some extra commission he makes 6% of everything he sells if Peter sold $55,000 of jewelry this m
    6·1 answer
  • The price of a visit to the dentist is calculated according to the formula 50+100n where n is the number of cavities the dentist
    10·1 answer
  • President of Salas Products, is reviewing the warranty policy for her company's new model of automobile batteries. Life tests pe
    6·1 answer
  • Suppose in one year, total revenues from digital sales of pop/rock, tropical (salsa/merengue/cumbia/bachata), and urban (reggaet
    5·1 answer
  • the remains of an ancient ball court include a rectangular playing alley with a perimeter of about 64 M. the length of the alley
    11·1 answer
  • How do I do -4p-(1-6p)
    11·1 answer
  • Let f(x)=x-1 and g(x) = x2 + 4.<br> Find (fog)(-6).<br> Then (fog)(-6)= (Simplify your answer.)
    8·1 answer
  • On a sample tray, 6 out of 20 cake samples are chocolate.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!