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Romashka [77]
3 years ago
7

What is the answer to 4x-5y=-12 -x+5y=18

Mathematics
2 answers:
Radda [10]3 years ago
5 0
The answer is (2,4), my work :
Lorico [155]3 years ago
3 0

4x-5y=-12

-x+5y=18

find x first by eliminating y

add both of the equations

4x+-x-5y+5y=-12+18

4x-x=-12+18

3x=-12+18

3x=6

divide both sides by 3 to get x by itself

3x/3=6/3

x=2

find y by using the substitution method

-x+5y=18

-2+5y=18

move -2 to the other side

-2+2+5y=18+2

5y=20

divide both sides by 5 to get y by itself

5y/5=20/5

y=4

Answer:

(2,4)

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Answer:

  (c)  y = -3x +6

Step-by-step explanation:

The equation can be written in slope-intercept form when we know the slope and the y-intercept.

<h3>Slope-intercept form</h3>

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . . . where m is the slope and b is the y-intercept

<h3>Y-intercept</h3>

The y-intercept is the y-value where the line crosses the y-axis. It is 6. This eliminates choices A and D, leaving choices ...

  • y = 3x +6 . . . . . choice B
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<h3>Slope</h3>

The line goes down to the right. This is a negative slope, eliminating choice B.

The equation of the line is y = -3x +6.

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<em>Additional comment</em>

The line intersects the x-axis at x=2. This means the "rise" of the line is -6 units for a "run" of 2 units. The numerical value of the slope is ...

  m = rise/run = -6/2 = -3

Now, we know the parameters of the equation are m=-3, b=6, and the equation of the line is

  y =-3x +6

3 0
2 years ago
A teacher asked his students to vote for an animal to be their class pet. 5/18 of the students voted for a rabbit, 1/6 voted for
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4 years ago
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zimovet [89]

Answer:

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7 0
3 years ago
Lisa is planning to buy oak fence to put around her (-7x-3) feet by (9x+2) feet rectangular garden. If each foot of oak fence co
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Given:

Dimensions of rectangular garden are (-7x-3) feet by (9x+2) feet.

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To find:

The cost of total oak fencing around her garden.

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Length of the garden, l = (-7x-3) feet

Width of the garden, w = (9x+2) feet

\text{Perimeter of garden}= 2(l+w)

\text{Perimeter of garden}= 2(-7x-3+9x+2)

\text{Perimeter of garden}= 2(2x-1)

\text{Perimeter of garden}= 4x-2

So, the perimeter of garden is (4x-2) fee.

Cost of oak fencing is $11 per foot. So, total cost is

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3 years ago
Which equation is equivalent to 1/3^x=27^x+2
Dima020 [189]

Answer:

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+2              +2

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4 0
4 years ago
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