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Mice21 [21]
3 years ago
10

Evaluate the expression when a= -7 and b=2a-4b​

Mathematics
1 answer:
Yanka [14]3 years ago
7 0
  • a = - 7
  • b = 2

a - 4b

= (-7) - 4(2)

= - 7 - 8

= <u>-</u><u> </u><u>1</u><u>5</u><u>.</u>

Hope it helps ya :))

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2 years ago
The three planes given meet at a point. The planes are 3x+y-2z = 11, 4x-2y+z = -5, x+5y-4z = 33. The intersection is at what poi
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Answer:

(2, 7, 1)

Step-by-step explanation:

We have three equations, and using Gauss-Jordan Elimination, we can solve for x, y, and z

3x + y - 2z = 11

4x - 2y + z = -5

x + 5y - 4z = 33

We can start by taking out the z from all rows except one. To do this, we can work with the second row. I chose the second row because -5 is small and easy to add up with other numbers, and z has no coefficient in this row.

We can add 2 times the second row to the first row and 4 times the second row to the third row to get

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4x - 2y + z = -5

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We then have the first and third rows having two variables. Since the y coefficients are the same, we can eliminate the y by adding the negative of the first row to the third row. Our result is then

11x - 3y = 1

4x - 2y + z = -5

6x = 12

From the third row, we can gather that x= 2. We can then plug that into the first row to get

22 -3y = 1

subtract 22 from both sides

-3y = -21

divide both sides by -3

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We can then plug our x and y values into the second row to get

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add 6 to both sides

z = 1

Our answer is thus (2, 7, 1)

7 0
3 years ago
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