Which system of equations has exactly one solution? 2x + y = 7 2x + y = –3 5x – 4y = 8 3x + 2y = 8 15x + 9y = 36 10x + 6y = 36 8x – 12y = 48 6x – 9y = 36

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

The system of the equation that has only one solution is; 5x-4y=8 and  3x+2y=8.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have to determine;

Which system of equations has only one solution

As per the question,  a system of linear equations can have one solution if there is only one point that makes every equation in the system true.  It implies that there is one point that can satisfy all of the equations at the same time.

The system of equations has only one solution is;

5x-4y=8

3x+2y=8

from equation 1

5x-4y=8

5x=8+4y

[tex]x=\frac{8+4y}{5}[/tex]

Putting the value of x in equation 2

3x+2y=8

[tex]3(\frac{8+4y}{5})+2y=8[/tex]

[tex](\frac{24+12y}{5})+2y=8[/tex]

24+12y+10y=[tex]5*8[/tex]

24+22y=40

22y=40-24

22y=16

y=[tex]\frac{16}{22}[/tex]

y=[tex]\frac{8}{11}[/tex]

Putting the value of b in equation 1,

3x+2y=8

3x+2[tex]\frac{8}{11}[/tex]=8

3x=8-[tex]\frac{16}{11}[/tex]

3x=[tex]\frac{88-6}{11}[/tex]

[tex]x=\frac{82}{33}[/tex]

Therefore, the system of equation which has exactly one solution are;

5x-4y=8 and  3x+2y=8.

To know more about the System of equation click the link given below.

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Ten over two would be at the very right side of this number line. It would be located at the number 5. Negative nine over two would be located two segment or lines after negative five.

Step-by-step explanation:

Ten over two would come out to a positive and whole number of five. Negative nine over ten comes out so negative four wholes and one half. So this gets located two segments after negative five because it is not fully negative five but it is negative four and one half. I got these whole numbers by simplifying the numbers that we started off with. Hope you have an amazing day and do well on your assignments.

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Step-by-step explanation:

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Answers

Answer:

A) 13 i think

Step-by-step explanation:

832 , 208 , 52

The difference between 832 and 208 is 624 and then the difference between 208 and 52 is 156. If we check the relation between 624 and 156 which is 624/4 = 156 so then if we divide 156 by 4 we get 39 and then subtract 39 from 52 we get 13.

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

(4n+4) - (n+5)

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so

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Step-by-step explanation:

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Explanation

Answer:

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Step-by-step explanation:

47.9 is what percent of 152?
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B)31.5%
C)0.32%
D)317.3%

Answers

Answer: B

Step-by-step explanation:

Step 1: We make the assumption that 152 is 100% since it is our output value.

Step 2: We next represent the value we seek with x

Step 3: From step 1, it follows that 100%=152

Step 4: In the same vein, x%=47.9

Step 5: This gives us a pair of simple equations:

100%=152(1).

x%=47.9(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

. Solve the equation. -3/4 (x - 3) - 5 = 1/8 (x - 1) *​

Answers

[tex] \frac{ - 3}{4} (x - 3) - 5 = \frac{1}{8} (x - 1)[/tex]

[tex] \frac{ - 3}{4} x + \frac{9}{4} - 5 = \frac{1}{8} x - \frac{1}{8} [/tex]

[tex] \frac{ - 3}{4} x - \frac{1}{8} x = - \frac{1}{8} - \frac{9}{4} + 5[/tex]

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[tex]x = - 3[/tex]

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Answers

4(t-1)

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=24

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Answer:

24

Step-by-step explanation:

Plug in the value of t: 4(7 - 1)We can solve this two ways: one way is doing the distributed property, the other is PEMDAS. For now, let's use the distributed property (the other person who answered used PEMDAS)4 × 7 = 284 × 1 = 4Put them together: 28 - 428 - 4 = 24

I hope this helps!

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Step-by-step explanation:

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Step-by-step explanation:

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Use the identity of the sum of two cubes to factor 8q6r3 + 27s6t3.
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Answers

Answer:

Factors of [tex]8q^6r^3 + 27s^6t^3[/tex] are [tex](2q^2r+3s^2t)(4q^4r2-12q^2rs^2t+9s^4t^2)[/tex]

a is [tex]2q^2r[/tex]

b is: [tex]3s^2t[/tex]

Step-by-step explanation:

We need to factor [tex]8q^6r^3 + 27s^6t^3[/tex]

[tex]8q^6r^3 + 27s^6t^3\\=(2q^2r)^3+(3s^2t)^3\\Applying \ formula: a^3 + b^3 = (a + b)(a^2 - ab + b^2)\\=(2q^2r+3s^2t)((2q^2r)^2-2(2q^2r)(3s^2t)+(3s^2t)^2)\\=(2q^2r+3s^2t)(4q^4r2-12q^2rs^2t+9s^4t^2)[/tex]

So, Factors of [tex]8q^6r^3 + 27s^6t^3[/tex] are [tex](2q^2r+3s^2t)(4q^4r2-12q^2rs^2t+9s^4t^2)[/tex]

What is a? a is [tex]2q^2r[/tex]

What is b? b is: [tex]3s^2t[/tex]

Answer:

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Step-by-step explanation:

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Answer and explanation in screenshot:

m a t h w a y solution: (2/5)^3 = 8/125

Symbolab explanation in image

2/5+6/10
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Answers

We have to make sure the denominators are equal.

10 goes into 5 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 2, and get 4, then we multiply 5 by 2 and get 10

Now the equation is 4/10 + 6/10

Since our denominators match, we can add the numerators.

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your welcome :) (btw can u please give brainly?)

Answer:

2/5 + 6/10 = 1

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer: $2.50

Step-by-step explanation:

The following payments are made by Dustin's Lawn Care Service Customer

Mrs. Schmitt = $15.75

Mr. Jones = $9.25

Mrs. Adams = $22.50

Mr. Meyer = $50.00

To get our answer, we need to add all the payments of the other three. This will be:

= $15.75 + $9.25 + $22.50

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The answer will now be:

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Answers

C, x is greater than or equal to 2

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Which of the following quotients are negative? Check all that apply.

2.2 ÷ 9.5
–0.5 ÷ 0.021
–1.3 ÷ –54.321
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Answers

-0.5 / 0.021 = -23.8
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Answer:

b and d

Step-by-step explanation: i did the assignment

A science beaker was left under a dripping water faucet. In 3 days, the beaker filled to 2¼ mL. If the water dripped the same amount every day, how many mL dripped from the faucet each day?

Answers

Answer:

Answer: 6 3/4

Step-by-step explanation:

You have to mulitply 2 x 4 + 1 = 9 and 4 is going to be the denomiator and how much can 3 can go into 9 only 3 times and that going to be on top of the denomiator  and 2 x 3 = 6

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Answers

Answer:

tre made an error when adding  or subtracting. the answer is 05

Simplifying

3.57x + 1.61 = 4.71 + -2.63x

Reorder the terms:

1.61 + 3.57x = 4.71 + -2.63x

Solving

1.61 + 3.57x = 4.71 + -2.63x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2.63x' to each side of the equation.

1.61 + 3.57x + 2.63x = 4.71 + -2.63x + 2.63x

Combine like terms: 3.57x + 2.63x = 6.2x

1.61 + 6.2x = 4.71 + -2.63x + 2.63x

Combine like terms: -2.63x + 2.63x = 0.00

1.61 + 6.2x = 4.71 + 0.00

1.61 + 6.2x = 4.71

Add '-1.61' to each side of the equation.

1.61 + -1.61 + 6.2x = 4.71 + -1.61

Combine like terms: 1.61 + -1.61 = 0.00

0.00 + 6.2x = 4.71 + -1.61

6.2x = 4.71 + -1.61

Combine like terms: 4.71 + -1.61 = 3.1

6.2x = 3.1

Divide each side by '6.2'.

x = 0.5

Simplifying

x = 0.5

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