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Gennadij [26K]
3 years ago
10

What is the slope of the line that passes through the pair of points? (1, 7), (10, 1) A. –2/3 B. 3/2 C. 2/3 D. –3/2

Mathematics
1 answer:
Orlov [11]3 years ago
8 0
Slope = (y2 - y1)/(x2 - x1) = (1 - 7)/(10 - 1) = -6/9 = -2/3
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Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3

<u>Solution:</u>

We have been given two equations which are as follows:

3x - 4y = -24   ----- eqn 1

x + 4y = 8   -------- eqn 2              

We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.

We rearrange eqn 2 as follows:

x + 4y = 8

x = 8 - 4y  ------eqn 3

Now we substitute eqn 3 in eqn 1 as follows:

3(8 - 4y) -4y = -24

24 - 12y - 4y = -24

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y = 3

Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:

x = 8 - 4(3)

x = 8 - 12  = -4

Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.

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Answer:

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