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miss Akunina [59]
3 years ago
9

Determine how many solutions exist for this system of equations: −6x−2y=10y=−3x−5 A Infinitely many solutions B Two solutions C

One solution D No solution
Mathematics
1 answer:
Firdavs [7]3 years ago
4 0

Answer: option A is the correct answer.

Step-by-step explanation:

The given system of equations is expressed as

- 6x - 2y = 10 - - - - - - - - - - - - - - - -1

y = - 3x - 5 - - - - - - - - - - - - - - - -2

We would apply the method of substitution by substituting equation 2 into equation 1. It becomes

- 6x - 2(- 3x - 5) = 10

- 6x + 6x + 10 = 10

10 = 10

Therefore, the given system of equations has infinitely many solutions because we have the same constants on both sides of the equation. If we take any value of x and y that satisfies one of the equations, they would also satisfy the other equation.

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Last questions for my last 15 pts.
klemol [59]

Step-by-step explanation:

{6}^{2}  - 10  \\  = 36 - 10 \\  = 26 \\ so \: kurt \: forgot \: to \: write \: units \: place \: \\  number \: 6 \: after \: 2.

8 0
3 years ago
Which expression is equivalent to the following complex fraction? 1+1/y /1-1/y
Mrac [35]

<u>Answer:</u>

<u>\frac{y+1}{y-1}</u>

<u>Step-by-step explanation:</u>

To solve a complex fraction like \frac{(1+\frac{1}{y} )}{(1-\frac{1}{y} )}, take LCM of both the terms separately first to get:

1+\frac{1}{y} = \frac{y+1}{y}

and

1-\frac{1}{y} = \frac{y-1}{y}

Now combine and divide these terms to get:

\frac{\frac{y+1}{y} }{\frac{y-1}{y} }

The term y in both the denominators will be cancelled out by each other and you will be left with:

\frac{y+1}{y-1}

Therefore, the expression \frac{y+1}{y-1} is equivalent to the given complex fraction.

6 0
3 years ago
Read 2 more answers
Enter the value of (0.45) divided by 9/10
Sergeu [11.5K]
The value is .5 or 1/2
7 0
3 years ago
2. A mother is three times as old as her daughter.
Scorpion4ik [409]
The mother would be 48 years old.
At the beginning the mother is 36 and the daughter is 12. Making her 3 times older. In 12 years the daughter would be 24 and the mother would be 48. Making her twice as old as her daughter
4 0
3 years ago
Read 2 more answers
Which statements are true about the ordered pair (2, 3) and the system of equations?
adoni [48]

Answer:

The Correct Answer are

  • The ordered pair (2, 3) is not a solution to the system of linear equations.
  • When (2, 3) is substituted into the first equation, the equation is true.
  • When (2, 3) is substituted into the second equation, the equation is false.​

Step-by-step explanation:

The Correct Answer are

  • When (2, 3) is substituted into the first equation, the equation is true.

3x + 4y = 18   equation ( 1 )

3×2 + 4×3 = 18

6 + 12 = 18

18  = 18

  • When (2, 3) is substituted into the second equation, the equation is false.​

2x – 2y = 2

2×2 - 2×3= 4 - 6 = -2≠2

  • The ordered pair (2, 3) is not a solution to the system of linear equations.

Solution means if we (2, 3) Substitute in both the Equation it Must Satisfy

But in Equation 1  it Satisfy

and in Equation 2 Not satisfy

Therefore It is NOT a solution to the system.

6 0
3 years ago
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