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2 years ago

Solve the system using substitution. y=6x-11 -2x-3y=-7

Mathematics

2 answers:

Tanzania [10]2 years ago

8 0

26=16x or x=1 5/8 because 6 and 11 are multiplied by 3

lilavasa [31]2 years ago

6 0

-2x - 3(6x - 11) = -7 Plug in the equation
-2x -18x + 33 = -7 Combine like terms
-20x + 33 = -7 Subtract
-20x = -40 Divide
x = 2

Hope this helps!!!

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Which of the following expressions is correct?

masya89 [10]

Answer:

The correct answer is: [A]: " -(-21) = 21 " .

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Step-by-step explanation:

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Let us examine the answer choices given.

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Choice: [A]: " -(-21) = 21 . This is correct;

→ since a "negative value of negative value" is a "positive value" ; as shown in this case. The equal sign holds true, since the

"negative of a "negative value" is equal to the "positive value" of that same "positive value equivalent."

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Choice: [B]: " -(-21) = -21 . This is incorrect. As explained above:

→ a "negative of negative" is a "positive value" .

This answer choice shows that a "negative of negative"; is a "negative" :

→ which is: INCORRECT.

→ Rule out: "Choice: [B]."

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Choice: [C]: " -(21) = 21 . This is incorrect. The "negative" value [of a positive integer is not equal to the "equivalent positive value" of that same integer.

→ Rule out: "Choice: [C]."

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Choice: [D]: " (-21) = 21 "; This is incorrect. In a conceptually similar way as explained above—(for "Answer Choice: [C]" — the "negative value equivalent" of an integer is NOT equal to the "equivalent positive value" [of that same integer.].

→ Rule out: "Choice: [D]."

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The correct answer is: [A]: " -(-21) = 21 " .

________________________________

Hope this is helpful to you!

Best wishes!

7 0

2 years ago

Read 2 more answers

The value of a car decreases $500 for every 1,000 miles it is driven. The current value of the car is $23,000, and the car is dr

Hoochie [10]

Answer: C

Step-by-step explanation:

If we know the value of the car decreases $500 for every 1,000 miles, and that the car is driven about 10,000 miles every year, that means that you need to take the total value of the car (23,000) and subtract it from the amount of money it is losing per year. Again, the car is driven about 10,000 miles per year, so that means that the car will most likely continue to be driven 10,000 miles per year. If you do the math, for one year, the value of the car will drop $5,000 ($500 x 10, because it is $500 per every 1,000 miles) So, for each year, you can just multiply the number of years by $5,000 to find out how much the vehicle has depreciated over time.

Hope this helped you and made sense! Feel free to ask me any questions you have!

4 0

2 years ago

Multiply: (2x + 5)(3x + 2)<br><br> Simplify and write your answer in standard form

RideAnS [48]

Answer:

Hey,

$\rm \: =6x^2+19x+10$

Step-by-step explanation:

=(2x+5)(3x+2)

=(2x)(3x)+(2x)(2)+(5)(3x)+(5)(2)

=6x^2+4x+15x+10

=6x^2+19x+10(ANS)

3 0

1 year ago

Read 2 more answers

2x2 - 4x –9 = 0<br> Completing the swuare

ASHA 777 [7]

Step-by-step explanation:

$(a-b)^2=a^2-2ab+b^2\\\\2x^2-4x-9=0\qquad|\text{add 9 to both sides}\\\\2x^2-4x-9+9=0+9\\\\2x^2-4x=9\qquad|\text{divide both sides by 2}\\\\\dfrac{2x^2}{2}-\dfrac{4x}{2}=\dfrac{9}{2}\\\\x^2-2x=4.5\\\\x^2-2\cdot x\cdot1=4.5\qquad|\text{add}\ 1^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot1+1^2=4.5+1^2\\\\(x-1)^2=5.5\iff x-1=\pm\sqrt{5.5}\qquad|\text{add 1 to both sides}\\\\x=1-\sqrt{5.5}\ \vee\ x=1+\sqrt{5.5}$

4 0

3 years ago

Graph -5x-8y=40

Triss [41]

Answer:

Please, see the attached file.

Thanks.

Step-by-step explanation:

-5x-8y=40

This is a linear equation, and its graph is a right line, we only need two points, because by two points only goes trough only a right line:

1) For x=0→ -5(0)-8y=40

0-8y=40

-8y=40

Dividing both sides of the equation by -8:

-8y/(-8)=40/(-8)

y=-5

Point=(x,y)→Point=(0,-5)

2) For y=0→ -5x-8(0)=40

-5x-0=40

-5x=40

Dividing both sides of the equation by -5:

-5x/(-5)=40/(-5)

x=-8

Point=(x,y)→Point=(-8,0)

With these two points (0,-5) and (-8,0) we can draw the right line.

8 0

3 years ago