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4 years ago

2x - 1y = 6 -3y = -6x + 18 please explain how you got your answer thank you :)

Mathematics

2 answers:

joja [24]4 years ago

6 0

Answer: {x,y}={6,21}

Step-by-step explanation:

// Solve equation [2] for the variable x

[2] 3x = 18

[2] x = 6

// Plug this in for variable x in equation [1]

[1] 2•(6) - y = -9

[1] - y = -21

// Solve equation [1] for the variable y

[1] y = 21

// By now we know this much :

x = 6

y = 21

We are done

EleoNora [17]4 years ago

3 0

Answer:

y = 2x -6. A dependent system, so all numbers on this line.

Step-by-step explanation:

2x - y = 6

-3y = -6x + 18

In order to solve a system of equations, you want to get isolate y. One equation already has done that for us, so that makes it easier.

2x - y = 6

In order to isolate y in this equation, you must simply subtract 2x from both sides, which would give us:

-y = -2x + 6

Now, you can't leave y negative. Normally you'd divide the y by its variable, but this one doesn't have a variable. so you must divide both sides by -1.

$\frac{-y}{-1} =\frac{-2x+6}{-1}$

We divide both sides because what you do to one side you must do to the other. This leaves us with the equation:

y = 2x - 6

Now, for the other equation. It's simple since y is already isolated.

-3y = -6x + 18

Once again we will be dividing both sides, but this time it's by -3.

$\frac{-3y}{-3} =\frac{-6x+18}{-3}$

We are dividing by -3 instead of -1 because y in this equation has a variable of -3. This would give us:

y = 2x - 6

Now, normally in order to get the answer, you must graph both of these equations, but since these equations ended up being the same, the answer is every number that appears on the line. This is called a dependent system.

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Select all the equations that are true. 24 x − 8 = 8 ( 3 x − 1 ) 24 x − 8 = 8 ( 3 x − 1 ) 6 m − 15 = 3 ( 2 m − 5 ) 6 m − 15 = 3

galina1969 [7]

Answer:

$24x - 8 = 8 ( 3 x - 1 )$

$6 m - 15 = 3 ( 2 m - 5 )$

$-7 x - 1 = - 1 ( 7 x + 1 )$

$-8 x -12 y - 16 = - 4 ( 2 x + 3 y + 4 )$

Step-by-step explanation:

Required

Select which of the equation is true

$24x - 8 = 8 ( 3 x - 1 )$

Open the bracket on the right hand side

$24x - 8 = 8 * 3 x - 8 *1$

$24x - 8 = 24x - 8$

Both sides of the equation are equal.

Hence, this equation is true

$6 m - 15 = 3 ( 2 m - 5 )$

Open the bracket on the right hand side

$6m - 15 = 3 * 2m - 3 * 5$

$6m - 15 = 6m - 15$

Both sides of the equation are equal.

Hence, this equation is true

$-7 x - 1 = - 1 ( 7 x + 1 )$

Open the bracket on the right hand side

$-7x - 1 = -1 * 7x -1 * 1$

$-7x - 1 = -7x -1$

Both sides of the equation are equal.

Hence, this equation is true

$16 a + 24 b = 8 ( 8 a + 16 b )$

Open the bracket on the right hand side

$16a + 24b = 8 * 8a + 8 * 16b$

$16a + 24b = 64a + 128b$

Both sides of the equation are not equal.

Hence, this equation is false

$-8 x -12 y - 16 = - 4 ( 2 x + 3 y + 4 )$

Open the bracket on the right hand side

$-8 x -12 y - 16 = - 4* 2 x -4 * 3 y -4 * 4$

$-8 x -12 y - 16 = -8x -12y -16$

Both sides of the equation are equal.

Hence, this equation is true

8 0

3 years ago

Which of the following could be true if y ≤ -75?

ch4aika [34]

Hello!

Lets go through each choice, and determine if it is correct.

So, the symbol ≤, means less than or equal to. So our answer must be less than -75 or -75 on the dot.

A: y = 75

Okay, so we can tell this one is wrong off the bat. 75 is much more than -75. (Make sure you notice the symbol!) So it cannot be equal to said answer. A is wrong.

B: y =-74

Another trick question! When you are in the negatives, less is more! So -74 is actually greater than -75. This is also incorrect!

C: y > -75

This one is straight forward. Our equation up top strictly says less than or equal too, while C says greater than. Incorrect!

D: y = -75

The last answer! We see that the symbol in our equation up top says less than or equal too, and y = -75 is equal. This is the correct answer.

Our correct answer is D: y = -75

waffletowne

4 0

3 years ago

State a conclusion that seems reasonable.

netineya [11]

Answer:

This is the identity property of addition which states that when you add zero to a number the results is the number itself.

Step-by-step explanation:

Hello,

Identity is a number t that when added to other numbers it gives the same number t. In mathematics, the additive identity is always 0. In this property a number is added to 0 where the sum is always the number. For example 0+ 96= 96.

Other properties in math that involve addition are the commutative property, associative property and the distributive property.

In the commutative property, when two numbers are added, the sum is the same regardless of the order of the addends. For example, 3+2=2+3

The associative property states that when three or more numbers are added, the sum is the same regardless of how the addends are grouped.For example (2+3)+4 = 2+(3+4)

The distributive property states that the sum of two numbers multiplied by a third number is equal to the sum of each addend multiplied by the third number. For example 2*(9+1)=2*9 +2*1.

Hope this Helps.

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3 years ago

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Temka [501]

Answer:

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Step-by-step explanation:

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4 years ago

only 93% of the airplane parts being examined pass inspection. what is the probability that the next 5 parts examined will all p

DedPeter [7]

Answer:

Question 4 pts Only 93% of the airplane parts being examined pass Inspection: What is the probabllity that the next 5 parts examined will all pass inspection? (Write your probability a5 decimal rounded to the nearest thousandth or third decimal place):

Step-by-step explanation:

in order for us to find this probability here. What we're going to need to do is first ask ourselves if we were to just randomly select five parts, does one passing or felling affect the next one passing your fellow. And it really wouldn't um because one passing doesn't really say the next word should pass. And so because of that we know that this is going to be an independent event and if we have an independent event that's just really going to be where we multiply the probabilities of each live, it's occurring by themselves. So in this case it's just going to be the probability of one of them passing times 0.3 times the probability of the second one passing times. The probability of the third passing times. The fourth passing At times the 5th passing For just 0.93 Raised to the 5th power. So this is going to be the exact answer but they want it to three decimal places Which is going to be 0.6 956. So we round to three decimal so we have six and then we have five. So we would round it up To about 6.96. So this is going to be our probability or if you want you can change this into a decimal of 69.6%. But normally we would receive it as this decimal here. So either of these um would be good answers for what we have here

6 0

2 years ago