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NISA [10]
3 years ago
10

Solve the system. 3x+2y=-2 6x-Y=-6

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
3 0
So we assume that x=x and y=y is true for both situations so

3x+2y=-2
6x-y=6



6x-y=6
add y to both sides
6x=6+y
subtract 6 from both sides
6x-6=y
subsitute (6x-6) for y in first equation
3x+2(6x-6)=-2
distribute
3x+12x-12=-2
add like terms
15x-12=-2
add 12 to both sides
15x=10
divide both sides by 15
x=2/3
subsitute
3x+2y=-2
3(2/3)+2y=-2
6/3+2y=-2
2+2y=-2
subtract 2 from both sides
2y=-4
divide both sides by 2
y=-2

x=2/3
y=-2
solution in (x,y) form
(2/3,-2)
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garik1379 [7]
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The reason why you can add these equations together is illustrated in the next example:
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4+5=x+y
Simple no?
Now that you now x you can substitute the value in one of the equations and you get the y value:
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Lana71 [14]
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A Line Segment has the points (1,-2), and (3,-2). What are the new points after its dilated by a scale factor of 3/2 or 1.5
jeka57 [31]

Answer:

The new points after dilation are

(3/2, -3) and (9/2,-3)

Step-by-step explanation:

Here in this question, we want to give the new points of the line segment after it is dilated by a particular scale factor.

What is needed to be done here is to multiply the coordinates of the given line segment by the given scale factor.

Let’s call the positions on the line segment A and B.

Thus we have;

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So by dilation, we multiply each of the specific data points by the scale factor and so we have;

A’ = (3/2, -3) and B’= (9/2,-3)

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horrorfan [7]
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