5x -2y = 1, ax -6y = b
whet are the values of a and b such that the equations have no solutions?

Answers

Answer 1

The system of equations will have no solutions if the two lines are parallel, then one example can be:

5x - 2y = 1

15x - 6y = 0

For which values of a and b the system has no solutions?

Here we have the following system of equations:

5x - 2y = 1

a*x - 6y = b

The system will have no solutions only if the two equations are parallel. You can see that the coefficient of y on the second equation is 3 times the coefficient on the first equation.

Then a should also be 3 times the coefficient of x on the first equation:

a = 3*5

a = 15

And b should be any number but 3 times the constant on the other equation:

b ≠ 3*1

So we can take b = 0, for example.

So the system with no solutions will be:

5x - 2y = 1

15x - 6y = 0

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Related Questions

guys please help its due today!​

Answers

Answer:

Step-by-step explanation:

the answer is 6

Refer to the image attached.

The table below shows the number of bacteria in a laboratory sample after x minutes. Fill in the missing blanks (HELP!!!)

Answers

Answer:

2.25  

4.5

9

18

36

72

144

288

Step-by-step explanation: you take the number and multiply it by itself. but went it comes to the negative numbers you have to divide the number by 2 then take the answer you get from that and add it by itself so 4.5+4.5=9. its pretty simply when you under stand how to do it.

Find (f•g)(1)
f(x)=x²-1
g(x) = √x

Answers

The answer to the stated domain range puzzle is 0.

What exactly are a domain and range?

both domain and range. The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x).  The values that the function outputs when we enter an x value are in this set.

What do a function's domain and range consist of?

The collection of all possible inputs and outputs constitutes a function's domain and range, respectively. Important features of a function are the domain and range.

According to the given information:

(f(g)(x) = (√x)² - 1

(f(g)(x) = x - 1

(f(g)(x)(1)  = 1 - 1 = 0

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The ratio of yellow houses to white houses on a street is 18 to 26.
Simplify the ratio.
Enter your answer by filling in the boxes.
to

Answers

Answer: The ratio 18:26 simplified is 9:13.

Step-by-step explanation:

To simplify the ratio 18:26, we find the greatest common divisor of 18 and 26, and then we divide 18 and 26 by the greatest common divisor.

The greatest common divisor that you can use to simplify 18:26 is 2. Which means the answer to ratio 18:26 simplified is: 9:13

Answer:9/13

explanation: k12

C(6,18), SF=____ C'(2,6)

Pls help me solve this and figure this out!!!

Answers

C'(2,6) can be obtained by dividing each element of C(6,18) by 3.
C'(2,6) = C(6,18) / 3 = (2,6)

hello i need help with my math question please thank.

Answers

The three ways to purchase a vehicle include: (1) On lease  (2) On hire purchased and (3) On cash basis

How to purchase a vehicle?

A vehicle can be purchased on the following ways:

Lease:  This involves granting the user access on the property over a period of time before he could make payment

Hire purchase:  In this method, the buyer deposits first initial money while he agrees with the seller to make the payment of the balance on installment basis

Cash:  In this method the buyer pays cash at prompt or on the point of purchase

Advantages include:

It places the buyer on good life without cash

He enjoys the luxurious life

Disadvantages:

He can run away with the vehicle

The seller looses in cash of accident taking the life of the buye

Additional expenses include

Cost of maintenance

Repairs

Fueling

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Prove that limx→2. 1/1-x= -1 using the definition of limit .​

Answers

Answer:

1332

[tex]7x))742 \sqrt[ \sqrt[241]{?} ]{?} [/tex]

Answer:

Refer to the step-by-step.

Step-by-step explanation:

[tex]Given:\\ \lim_{x\to \22} \frac{1}{1-x}[/tex]

Plug in the value of 2 in for x. We get,

⇒ [tex]\frac{1}{1-(2)}[/tex] ⇒ [tex]\frac{1}{-1}[/tex] ⇒ -1

So,  [tex]\\ \lim_{x\to \22} \frac{1}{1-x} = -1[/tex]

16^x^2
= 8⁰
I’ll put a picture of it so you can better understand it. Also I’ll give you 30 points, so one of you better answer by 10:00 tomorrow.

Answers

Answer:

x=0

Step-by-step explanation:

[tex]16^{x^2}=8^0\\\\16^{x^2}=1\\\\x^2\ln(16)=0\\\\x^2=0\\\\x=0[/tex]

hello- need help on this :)

Answers

Answer: 5x^2 - 15x

Step-by-step explanation:
Distribute the 5x into the parentheses. 5x multiplied by x = 5x^2 and 5x multiplied by -3 and -15x. This means the product is 5x^2 - 15x
Answer: 5x^2 - 15x.

Basically, you just have to multiply the outside number by by x and -3.

Which step is not necessary when solving this system of equations by graphing?


Identify the point of intersection.
Choose a method to graph the equations.
Determine the shaded area for each line.
Write the solution as an ordered pair.

Answers

Not necessary when solving this system of equations by graphing is

to determine the shaded area for each line. The correct option is C.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found. The point where the two lines join is (-3, -4), which is where this equation system's solution lies.

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Cardi B uses 1/2 cup of sugar to make 4 1/3 batches of brownies. How much sugar is required to make each batch of brownies?​

Answers

The sugar required to make each batch of brownies is 3/26 cups

How to determine how much sugar is required to make each batch of brownies?​

From the question, we have the following parameters that can be used in our computation:

Brownies = 4 1/3 batches

Sugar = 1/2 cups

The amount of sugar required to make each batch of brownies is then calculated as

Sugar needed = Sugar/Brownies

Substitute the known values in the above equation, so, we have the following representation

Sugar needed = (1/2)/(4 1/3)

Evaluate

Sugar needed = 3/26

Hence, the amount is 3/26 cups

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