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3 years ago

Solve the system of equations algebraically. 5x-3y=6 6x-5y=10

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

7 0

Answer:

The solution is x = 0, y = -2.

Step-by-step explanation:

5x - 3y = 6

6x - 5y = 10

If we multiply the first equation by 5 and the second by - 3 we get:

25x - 15y = 30

-18x + 15y = -30 Adding these 2 equations eliminates y, we get:

7x + 0 = 0

x = 0.

Substituting x = 0 in the first equation:

5(0) - 3y = 6

y = 6/-3 = -2.

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3 years ago

using the midpoint formula find the coordinates of the midpoint 9f each sigment with end points (4,2),(-5,-1)

exis [7]

Answer:

The midpoint of the segment is (-0.5,0.5).

Step-by-step explanation:

Midpoint of a segment:

The midpoint of a segment is given by the mean of its coordinates.

Segment with end points (4,2),(-5,-1)

x-coordinates: 4 and -5

y-coordinates: 2 and -1

x-coordinate of the midpoint:

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y-coordinate of the midpoint:

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3 years ago

Slope = 4, passing through (-6, 8)

Mademuasel [1]

The point slope form is y - 8 = 4(x + 6) and the slope intercept form would be y = 4x + 32.

In order to find this, we'll start with the base form of point-slope form.

y - y1 = m(x - x1) ----> Plug in the numbers

y - 8 = 4(x - -6) ----> Simplify

y - 8 = 4(x + 6)

Now to find slope intercept form, solve for y.

y - 8 = 4(x + 6) ----> distribute the 4

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4 years ago

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