The solution to the equation 3 and 4 by elimination is x = -2 and y = -2
<h3>Simultaneous equation</h3>
2x = 3y + 2. (1)
3x = 5y + 4. (2)
2x - 3y = 2. (3)
3x - 5y = 4 (4)
- Multiply (3) by 3 and (4) by 2
6x - 9y = 6. (5)
6x - 10y = 8. (6)
- subtract (5) from (6) to eliminate x
-10y - (-9y) = 8 - 6
-10y + 9y = 2
-y = 2
y = -2
- substitute y = -2 into (3)
2x - 3y = 2. (3)
2x - 3(-2) = 2
2x + 6 = 2
2x = 2 - 6
2x = - 4
x = -4/2
x = -2
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6. Expand the left side:
Recall the Pythagorean identity,
which leaves us with
Recall the angle sum formula for cosine:
which gets us to where we need to be:
and we're done.
7. A. The formulas you need are
This gives
7. B. Solving for gives
which holds for
where is any integer.
7. C. Factorize as
From here, we have
which hold for
where is any integer.
Answer:
1
Step-by-step explanation:
Given table:
x -1 1 3 5
y -2 0 2 4
Unknown:
Slope of the line = ?
Solution:
Each x and y pair on the table lies on the line. Therefore, we can use them to find the slope;
Slope =
let us take;
x₁ = -1 x₂ = 3
y₁ = -2 y₂ = 2
Insert the parameters and solve;
Slope = = = 1
The slope of the line is 1
53,445,912. This answer is correct, as I did it by calculator. Good luck!