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Zinaida [17]
3 years ago
8

HELP PLZZZZ !!!!!!!!!!!!

Mathematics
1 answer:
jeyben [28]3 years ago
4 0
The answer to your question is B
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Which of these systems of linear equations has no solution? 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus y = 18. 4 x + 2 y = 38. 4
kvasek [131]

Answer:

The correct answer is:

4 x -3 y = 16 and

8 x -6 y = 34 are the equations that have no solution.

Step-by-step explanation:

First of all, let us have a look at the rules for a pair of lines, that have solution or no solution.

Let the equations be:

a_1x+b_1y+c_1=0 and

a_2x+b_2y+c_2=0

1. There exists exactly one solution:

\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}

2. There exists infinitely many solutions i.e. lines are identical.

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

3. There exists No solutions i.e. lines are parallel and will never intersect.

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}

Now, let us have a look at the given pair of lines:

Option a)

2 x + 8 y = 15\\4 x + 16 y = 30.

The ratio:

\dfrac{2}{4}=\dfrac{8}{16}=\dfrac{15}{30} = \dfrac{1}{2}

Hence, the lines are identical, infinite solutions.

Option b)

2 x - y = 18\\4 x + 2 y = 38

The ratio:

\dfrac{2}{4}\neq \dfrac{-1}{2}

Hence, exactly one solution.

Option c)

4 x + 7 y = 17\\8 x -14 y = 36

The ratio:

\dfrac{4}{8}\neq \dfrac{-7}{14}\\\dfrac{1}{2}\neq \dfrac{-1}{2}

Hence, exactly one solution.

Option d)

4 x - 3 y = 16\\8 x - 6 y = 34.

The ratio:

\dfrac{4}{8}= \dfrac{-3}{-6}\neq\dfrac{16}{34}\\\Rightarrow \dfrac{1}{2}= \dfrac{1}{2}\neq\dfrac{8}{17}

Hence, There is no solution.

The correct answer is:

4 x -3 y = 16 and

8 x -6 y = 34 are the equations that have no solution.

8 0
3 years ago
Read 2 more answers
Ten pictures, each measuring 4 inches by 6 inches, are mounted on a piece of green poster board so that there is no overlap. The
alexandr1967 [171]

Answer:

100 square inches

Step-by-step explanation:

Dimension of each of the ten pictures= 4 inches by 6 inches

Area of one of the pictures=4*6=24 Square Inch.

Total Area of the 10 pictures=24*10=240 Square Inches.

Dimension of the Poster Board=20 inches by 17 inches.

Area of the Poster Board=20*17=340 Square Inches.

Area not covered by the pictures=340-240=100 Square Inches

Therefore, 100 square inches of the green background will show after the pictures are mounted.

3 0
3 years ago
(X^3)^1/3 <br> What is the simplest form of this expression?
Norma-Jean [14]
The simplest form would be x

The rule for power to a power is 'keep the base and multiply the powers'.
3 * (1/3) = 1
So it would be x^1 or just x
7 0
3 years ago
You served food to a group at a restaurant. The total cost of the food was $42.00. The sales tax is 8% of the cost of food. The
Inessa05 [86]

Answer:3 and 9 over 25

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
There are two less nickels than dimes, and as many quarters, as nickels and dimes together. The total amount of money is $5.25.
katen-ka-za [31]
N=d-2
q=n+d =>q=(d-2)=q=2d-2
25q+5n+10d=525
replace q and n with d
25(2d-2) +5(d-2)+10d=525
50d-50+5d-10+10d=525
65d=585
d=9
n=7
q=16

3 0
3 years ago
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