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Basile [38]
4 years ago
8

Solve system of equations

0%3D%208%20%5C%5C%20%20-%202x%20%2B%203y%20-%202z%20%3D%2010" id="TexFormula1" title="x + 2y - z = 4 \\ 2x - y + 3z = 8 \\ - 2x + 3y - 2z = 10" alt="x + 2y - z = 4 \\ 2x - y + 3z = 8 \\ - 2x + 3y - 2z = 10" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Natasha2012 [34]4 years ago
3 0

First, using elimination method for eq. 1 and 2 to eliminate one of the variables.

2x - y + 3z = 8

-2x + 3y - 2z = 10

------------------------------

2y + z = 18

z = 18 - 2y

Now eq. 1 and 3, but multiple eq.1 with 2.

2x + 4y - 2z = 8

-2x + 3y - 2z = 10

----------------------------

7y - 4z = 18

Now you have two new equations 7y -4z = 18 and z = 18 - 2y. Solve for y and z, using substitute method.

7y - 4z = 18

7y - 4(18 - 2y) = 18

7y - 72 + 8y = 18

15y = 18+72

y = 90/15

y = 6

Find z using one of the two new equations.

z = 18 - 2y

z = 18 - 2(6)

z = 18 - 12

z = 6

Now you got y and z, find x using any one of the main three equations.

x + 2y - z = 4

X + 2(6) - 6 = 4

x + 12 - 6 = 4

x = 4 - 6

x = -2

Solutions:

x = -2

y = 6

z = 6

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zalisa [80]

Answer:

To do this, all you need is to draw triangle with each side being 7 cm, and a circle that intersects all three of its corners.

Step-by-step explanation:

  1. With a ruler and a pencil, draw a 7cm line.
  2. With a compass set to a radius of 7cm draw an arc centered around the right end of the line.
  3. With the same compass, still at 7cm, draw an arc centered around the left end of the line.
  4. These two arcs will intersect on either side of the line (you only need one side, so you only need a small arc in the right place, roughly where you think the third point if the triangle is.
  5. Where those arcs intersect is the third point on your triangle.  Mark that, and then trace two lines from that point to either end of the line segment you started with.

<em>You now have an equilateral triangle with 7cm sides.  Next you need to draw the circle</em>

  1. Measure the halfway point on two of your three lines.
  2. Draw a line from that each of those halfway points to the opposite corner. The new lines you're drawing will be perpendicular to the edge your measuring against.
  3. You have now drawn two line segments, and they intersect in the center of the circle.  Now take your compass and set its radius to the distance from that center point to one of the three corner points.
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And you're done!

6 0
3 years ago
Eli wants to plant 45 sunflower plants, 81 corn plants and 63 tomato plants in his garden. If he put the same number of plants i
Lynna [10]

Answer:

9

Step-by-step explanation:

For this problem, you would use the GCF

Find the GCF of 45, 81, 63

GCF(45, 81, 63) = 9

45 = 9 * 5

81 = 9 *9

63= 9 * 7

Since 5, 9, 7 have no common factors, the GCF has to be 9.

This means that the greatest number of plants he can put in each row is 9.

The number of rows he uses for each plant will (obviously) vary.

4 0
3 years ago
Please help with this, Thank You.
Dmitry [639]

Answer:

x = 12

Step-by-step explanation:

3x + 9 = 5x - 15

2x = 24

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4 0
2 years ago
Which graph is the function. f(x)=x^3-3x^2-4x
Sedaia [141]

Answer:

See below description.

Step-by-step explanation:

The function f(x) = x^3-3x^2-4x has the following characteristics:

  • Factors: x(x+1)(x-4)
  • Zeros/roots: x=0, x=-1, amd x=4
  • Positive leading coefficient
  • Graph starts down and curves up through -1 on the x-axis and back down to cross through 0. It curves back up again through 4 and finished off heading into positive infinity.
  • Its graph is the shape of a sideways S.
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6 0
3 years ago
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avanturin [10]

the only 2 possible answers are 2 and -2 .But the answer is y=2 because x is positive

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