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motikmotik
3 years ago
14

What is the solution of the system of equations? -4x+3y=-12 -2x+3y=-18

Mathematics
1 answer:
Kisachek [45]3 years ago
7 0

Answer:

Step-by-step explanation:

I've enclosed a graph to show you that there is one solution.

-4x + 3y = - 12

<u>- 2x + 3y = - 18</u><em><u>  </u></em><em>         </em>Subtract

-2x = 6                        Divide by - 2

-2x/-2 = 6/-2

x = - 3

- 4x + 3y = - 12

-4(-3) + 3y = - 12

12 + 3y = - 12

3y = - 12 - 12

3y = - 24

3y/3 = - 24/3

y = - 8

Which is exactly what the graph shows.

You can tell immediately that this has 1 or more solutions just by looking at the number in front of x and y in each each equation.

It's always a good idea to graph a question like this one. Desmos is a pretty good tool to use if you don't have a graphing calculator.

The y's are the same so you are 1/2 way home in saying what you did.

The x's are different so that means you have at least 1 solution.

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Answer:

What is the average rate of change from x = −4 to x = 1? x= -4 x + 5

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2 years ago
please help i will mark brainliest, no spam answers i will report.
vovikov84 [41]

9514 1404 393

Answer:

  (c)  (3, 3)

Step-by-step explanation:

Point E partitions both the x-distance and the y-distance in the ratio 2 : 1. That is, for either the x-coordinates or the y-coordinates, ...

  CE : ED = 2 : 1

Try the answers with the x-coordinates.

  CE : ED = (1 -(-1)) : (5 - 1) = 2 : 4 . . . . incorrect

  CE : ED = (-3 -(-1)) : (5 -(-3)) = -2 : 8 . . . . incorrect

  CE : ED = (3 -(-1)) : (5 -3) = 4 : 2 = 2 : 1 . . . . correct

  CE : ED = (-1 -(-1)) : (5 -(-1)) = 0 : 6 . . . . incorrect

The only viable choice is (3, 3).

_____

<em>Alternate solution</em>

For a partitioning of m : n, the desired point is ...

  E = (n×C +m×D)/(m+n)

For partitioning of 2 : 1, the desired point is ...

  E = (1×(-1, -3) + 2×(5, 6))/(2+1) = (-1+10, -3 +12)/3

  E = (3, 3)

3 0
3 years ago
1+1=? idk what is is!! PLEASE HELP NOW!!
Marrrta [24]

Answer:

2...................

Step-by-step explanation:

6 0
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Answer:

y=-7x+13

Step-by-step explanation:

y=mx+b

m= your slope

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3 years ago
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The answer is 15. Her daughter is 15 years old.

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That gives us fifteen.

Hope this helped !!
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3 0
3 years ago
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