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
UkoKoshka [18]
2 years ago
12

Find all solutions of the given system of equations and check your answer graphically. HINT [First eliminate all fractions and d

ecimals; see Example 3.] (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of x, where y = y(x).)
x/5 − y/4 = 1
x/6 + y = −4
(x, y) =

Mathematics
1 answer:
wolverine [178]2 years ago
7 0

Answer:

(x,y)=(0,-4)

Step-by-step explanation:

Given : \frac{x}{5}- \frac{y}{4} = 1\\\\\frac{x}{6}+ y = -4

To Find : (x,y)

Solution :

Equation 1 ) \frac{x}{5}- \frac{y}{4} = 1

\frac{4x-5y}{20}= 1

4x-5y= 20  ---A

Equation 2)  \frac{x}{6}+ y = -4

\frac{x+6y}{6} = -4

x+6y = -24  ---B

Solve A  and B by substitution

Substitute the value of x from B in A

4(-24-6y)-5y= 20

-96-24y-5y= 20

-96-29y= 20

-96-20= 29y

-116= 29y

\frac{-116}{29}= y

-4= y

Substitute the value of y in B to get value of x

x+6(-4) = -24  

x-24= -24  

x=0  

So,(x,y)=(0,-4)

Check graphically

Plot the lines A and B on graph

x+6y = -24 -- Black line

4x-5y= 20 -- Purple line

Intersection point gives the solution

So, by graph intersection point is (0,-4)

Hence verified

So, (x,y)=(0,-4)

You might be interested in
Complete the second equation below so that the terms in the system align.
cricket20 [7]

The equation is 3x+2y= -22

3 0
2 years ago
Read 2 more answers
What is the slope of the line that passes through the points
Sidana [21]

Answer:

-5/4

Step-by-step explanation:

8 0
3 years ago
Use the given information to find the p-value. also use a0.05 significance level and state the conclusion about the null hypothe
omeli [17]

Answer:

(a) C: 0.0465 ; reject the null hypothesis

(b) B: 0.3409 ; fail to reject the null hypothesis

Step-by-step explanation:

Firstly, the decision rule based on P-value to reject the null hypothesis or fail to reject the null hypothesis is given by;

  • If the P-value of test statistics is less than the level of significance, then we have sufficient evidence to reject our null hypothesis.
  • If the P-value of test statistics is more than the level of significance, then we have insufficient evidence to reject our null hypothesis due to which we fail to reject our null hypothesis.

(a) Now, we are given alternate hypothesis, H_1 : p < 3/5

Also, z test statistics is -1.68. Since this is a left tailed test, so P-value is given by;

             P-value = P(Z < -1.68) = 1 - P(Z \leq 1.68)

                           = 1 - 0.95352 = <u>0.0465</u>

Since, the P-value of test statistics is less than the level of significance as 0.0465 < 0.05, so we have sufficient evidence to reject our null hypothesis due to which <u>we reject the null hypothesis.</u>

(b) Now, we are given alternate hypothesis, H_1 : p > 0.383

Also, z test statistics is 0.41. Since this is a right tailed test, so P-value is given by;

             P-value = P(Z > 0.41) = 1 - P(Z \leq 0.41)

                           = 1 - 0.6591 = <u>0.3409</u>

Since, the P-value of test statistics is more than the level of significance as 0.3409 > 0.05, so we have insufficient evidence to reject our null hypothesis due to which <u>we fail to reject the null hypothesis.</u>

5 0
2 years ago
A point has: no shape no color no size no physical characteristics all of the above
notka56 [123]
A point is an abstraction to point a location or vertex (intersection of lines). It has no size. Consequently it does not have shape or color or any physical characteristic.

Then the answer is all of the above.
7 0
2 years ago
A rubber bouncy ball is dropped from a
ss7ja [257]

Answer:

353.35 is the answer of this question

3 0
1 year ago
Other questions:
  • Please help!!!
    14·1 answer
  • Write an equation that represents the line.
    10·1 answer
  • X+y=-3 find the intercepts
    14·1 answer
  • Ben spends 5/8 of his pocket money . He has £1.20 left.<br> How much pocket mone did Ben get?
    12·1 answer
  • Y=-6x-5 x and y intercept form
    10·2 answers
  • Sara bought a car for $15700 with interest rate of 5 3/7% and the contract is for 7 years.
    12·1 answer
  • Given that a triangle has two sides of lengths 5 inches and 7 inches, which is a possible length of the third side?
    12·1 answer
  • What is the product ? Sorry picture isn’t good
    6·1 answer
  • Please use the pic thanks
    9·2 answers
  • QUESTION 20
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!