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MA_775_DIABLO [31]
3 years ago
12

Use the linear combination method to solve the system of equations PLZ HELP I WILL GIVE BRAINLIEST AND ITS WORTH A LOT OF POINTS

, PLZZZZZZZZZZZZZZZZ
2x-3y=13
2x+4y=-8
Mathematics
1 answer:
jasenka [17]3 years ago
7 0
2x-3y=13...(1)
2x+4y=-8...(2)

Multiply equation 2 by -1 to eliminate x

2x-3y=13
+ -2x-4y=8
—————
-7y=21
y=-3
Substitute y=-3 into equation 2
2x+4(-3)=-8
x=2

Therefore, the solution to the system is (2, -3)
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what is the slope of the line through (1,0)(1,0)left parenthesis, 1, comma, 0, right parenthesis and (3,8)(3,8)
77julia77 [94]

The slope of the line passing through (1 , 0) and (3 , 8) is 4.

Slope, commonly represented by the letter m, is a value that describes the steepness and direction of a line. The slope of a line is also called its gradient or rate of change.

It is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points, (x_{1}, y_{1} ) and (x_{2}, y_{2} ), to calculate the change in y over the change in x.

m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1} }     where

x_{1} = 1

y_{1} = 0

x_{2} = 3

y_{2} = 8

Substituting the values,

m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1} } =\frac{8-0}{3-1} =\frac{8}{2}=4

Hence, he slope of the line passing through (1 , 0) and (3 , 8) is 4.

For more example on slope of line, visit brainly.com/question/3493733.

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7 0
2 years ago
Which choice shows the result of substituting 3x – 5 into the second equation for y?
ahrayia [7]

Answer:  The answer is (B) 2x + 3(3x – 5) = 51 .

Step-by-step explanation:  We are given three options and we are to select which choice shows the result of substituting 3x – 5 into the second equation for y.

So, y = 3x - 5.

Since the standard form of a linear equation i two variables is ax + by = c, so the second equation as given in the options must be of the form 2x + 3y = 51.

If we substitute y = 3x - 5, then this equation becomes

2x + 3(3x - 5) = 51.

Thus, (B) 2x + 3(3x – 5) = 51  is the correct option.

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Answer:

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