SAT MIDDLE SCHOOL

If the system of linear equations below has no solution, and a is a constant, what is the value of a?"A. -2 B. -½ C. 2 D. and 2 equations in system are absolute value 1/2 x - 2/3 y = 7 and absolute value of ax-8y= -1

Answers

Answer 1
Answer:

Answer:

a = 6

Explanation:

If the system of equations has no solution, their graphs have the same slope.

1. Slope of first equation

\begin{array}{rcl}|(1)/(2)x - (2)/(3) y|& = & 7\n|3x - 4y| & = & 42\n3x - 4y & = & \pm42\n-4y & = & -3x \pm 42\ny & = & (3)/(4)x \mp (42)/(4)\n\n\text{Slope}& = & (3)/(4) \end{array}

2. Slope of second equation

\begin{array}{rcl}|ax - 8y| & = & 1\nax - 8y & = & \pm 1\n-8y & = & -ax \pm 1\ny & = & (a)/(8)x\mp (1)/(8)\n\n\text{Slope} & = & (a)/(8)\n\end{array}

3. Value of a

\begin{array}{rcl}(3)/(4) & = & (a)/(8)\n\na & = & (24)/(4)\n\n & = & \mathbf{6}\n\end{array}

Check:

\begin{array}{rcrrcl}|(1)/(2)x - (2)/(3) y|& = & 7 & \qquad |6x - 8y| & = &1\n|3x - 4y| & = & 42 &|3x - 4y| &= &(1)/(2) & \n\end{array}\n\text{Both equations have the same slope}

Related Questions

8. Do Jewish vampires still avoid crosses?9. If a mime is arrested, do they tell him he has a right to talk?10. In the song Yankee Doodle, is he calling the horse or the feather “macaroni”?11. Is there a time limit on fortune cookie predictions?12. If vampires can’t see their reflections, why is their hair always so neat?13. If ghosts can walk through walls and glide down stairs, why don’t they fall through the floor?
I’ll give you 100 of you can answer this Why do you have a Apple Watch if apples can’t watchAnd plz actually answer
A line graph can show informationa Across days onlyb. Across months onlyC. Across many yearsd. Across hours onlyPlease select the best answer from the choices provided
I'm unsure if phone number is categorical or numerical :(
Some of the factors affecting stopping distance of the vehicle are ?

Edwin Hubble discovered in 1929 that the distances to far away galaxies were generally proportional to their redshifts.This was seen as strong evidence in favor of....
A) relic radiation
B) the radio spectrum
C) the Big Bang theory
D) steady-state theories

Answers

The correct answer is C) the Big Bang theory
Ben C diye düşünüyorum inşallah dogrudur

This is due tonight ASAP pls help mee

Answers

I think the correct answer is A I’m not 100% sure
Yeah, I would say the answer is probably a

What is the "brains" of the computer?

Answers

Answer:

Central Processing Unit (CPU)

Answer:

The "brains" of the computer is the CPU (Central Processing Unit).

Explanation:

The CPU processes and sends information.  

The formula used to multiply cell A1 by cell C1 is ____.

Answers

The formula in Microsoft Excel for multiplying the cell A1 by cell C1 will be =A1*C1.

What are formulas of Microsoft Excel?

The formulas are the shortcuts and pre-defined mathematical and financial operations to be conducted in the excel for easy computations. There are various formulas such as: sum, average, splitting and many more.

In the given case the operation is to multiply one cell data to another cell data. It can be easily done manually by inserting the formula as: =A1*C1. The sign in between the two cell name is for multiplication.

Thus, the formula is: =A1*C1

Learn more about formulas of Microsoft Excel, here:

brainly.com/question/8599347

#SPJ2
The answer is =A1*C1

Which factors would be mentioned in an accurate description of stagflation? Check all that apply.a high level of production
a high inflation rate
a low level of unemployment
a high level of unemployment
a low level of production

Answers

The factors that would be mentioned in an accurate description of stagflation include:

  • a high inflation rate
  • a high level of unemployment
  • a low level of production

  • Stagflation occurs when the inflation in an economy is very high. In such a situation, there is slow growth in the economy.

  • It should also be noted that there's a high rise in the prices of goods. In this case, there are fewer people buying the goods which will lead to a low level of production.

  • When there's a low level of production, there will be losses of jobs, and this leads to an increase in unemployment.

In conclusion, the correct options are 2, 4, and 5.

Read related link on:

brainly.com/question/10843267

Answer:

the answer is

a low level of production

a high level of unemployment

a high inflation rate

When a country experiences a depreciation of its currency, it can expect which of these to happen? a. imports to rise
b. exports to fall
c. balance of trade to worsen
d. balance of trade to improve

Answers

i believe the answer would be D. I hope this helps!
I want to say it’s C ‍♀️
Other Questions
Which of the following could represent the graph of the equation 3y -7 = 03y−7=03, y, minus, 7, equals, 0?
Break down of rocks and minerals into smaller particles without a change in composition is called_
How do visual learners study?
Describe two environments in which minerals form. List a mineral that is formed in each environment