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castortr0y [4]
4 years ago
8

3y - 5z = -23

Mathematics
1 answer:
leonid [27]4 years ago
8 0
Starting off, we can multiply the third equation by 2 and add it to the third to get rid of both the x and y variables. Next, we get z=1. Plugging that into 3y-5z=-23, we get 3y-5=-23. Adding 5 to both sides, we get 3y=-18. After that, we can divide both sides by 3 to get y=-6. Plugging that into -2x-y-z=-3, we get -2x+6-1=-3=-2x+5. Subtracting 5x from both sides, we get -2x=-8. After that, we can divide both sides by -2 to get x=4.
You might be interested in
Find all of the zeros of the function f(x)=x^3-17x^2+81x-65
viktelen [127]
A graph shows the function can be factored as
  f(x) = (x -1)((x-8)² +1)

There is one real root and there are two complex roots. The latter can be found from the vertex form factor:
  (x - 8)² + 1 = 0
  (x - 8)² = -1
  x - 8 = ±√(-1) = ±i
  x = 8 ± i

The zeros of the function are {1, 8-i, 8+i}.

4 0
3 years ago
I need to find the value of x
Zanzabum
Hello, 

We know that all the angles shown add up to 360 (think of a circle).

We also know that the angle of (6x-1)° is congruent to the angle opposite of it. (the "top left" angle) = 6x - 1°

We also know that the angle of (7x-1)° is congruent to the angle opposite of it. 
(the "bottom left" angle) = 7x -1°

Knowing the sum of all angles as well as the angle measures in terms of x, we can add all the angle measures and equal it to 360.

So, we get (7x - 1) + (7x - 1) + (6x - 1) + (6x - 1) = 360
Simplify and we get:
26x - 4 = 360
Add 4 to both sides to get 26x = 364 
Divide by 26 on both sides to get 14.

x = 14

Hope this helps!


6 0
3 years ago
Read 2 more answers
Helppppppp:)!!!!!!!<br><br> :)))))))))
Maksim231197 [3]

Answer:

-5a

Step-by-step explanation:

-21 + 16 = 16-21 16-21= -5 Therefore, a=-5

Give Brainliest if I helped Please!

4 0
3 years ago
Use similar triangles to solve. a person who is 6 feet tall is standing 132 feet from the base of a​ tree, and the tree casts a
devlian [24]
<span>Let the height of tree be denoted as AB and the shadow cast by the tree be BE. ABE is the triangle formed the tree, rays and the ground. Let the height of the person be CD and the length of his shadow be DE. CDE is the triangle formed by the person, rays and the ground. We have two triangles. Both the person and the tree stand vertically over the horizontal ground, therefore they make 90 degrees with the ground. The angle formed at the ground is the same for the both the triangles. Therefore, by AA similarity the two triangles are similar. We know that if two triangles are similar, then their sides are proportional. Therefore, AB/CD =BE/DE AB/6 = 143/11 AB= (143/11) *6 AB = 78 ft.</span>
3 0
4 years ago
Will give brainliest
Bond [772]
Sin 49 =cos x
sin α=cos(90-α)
sin(49)= cos (90-49)
sin 49 =cos 41
x=41
3 0
3 years ago
Read 2 more answers
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