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LiRa [457]
3 years ago
10

What is the solution to the system of equation? -3x-4y-32= -7 2x-6y+2=3 5x-2y+5z=9

Mathematics
2 answers:
sertanlavr [38]3 years ago
5 0
<span>Simplifying 8x + 336 = 336 + -3x Reorder the terms: 336 + 8x = 336 + -3x Add '-336' to each side of the equation. 336 + -336 + 8x = 336 + -336 + -3x Combine like terms: 336 + -336 = 0 0 + 8x = 336 + -336 + -3x 8x = 336 + -336 + -3x Combine like terms: 336 + -336 = 0 8x = 0 + -3x 8x = -3x Solving 8x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8x + 3x = -3x + 3x Combine like terms: 8x + 3x = 11x 11x = -3x + 3x Combine like terms: -3x + 3x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0</span>
kozerog [31]3 years ago
4 0

Answer:

x=\dfrac{38}{13},y=\dfrac{4}{13}\text{ and }z=-1

Step-by-step explanation:

we are given three equation of variable x, y and z.

-3x-4y-3z= -7  ------------- (1)

2x-6y+z=3     ------------- (2)

5x-2y+5z=9    ------------- (3)

  • Using elimination method to eliminate z from equation (1) and (2)

Make the coefficient of z same in both equation.

Multiply equation (2) by 3

-3x - 4y - 3z = -7  

6x - 18y + 3z = 9

Add above equation to eliminate z

3x - 22y = 2 ---------------(4)

  • Using elimination method to eliminate z from equation (2) and (3)

Make the coefficient of z same in both equation.

Multiply equation (2) by -5

-10x + 30y - 5z = -15  

5x - 2y + 5z = 9

Add above equation to eliminate z

-5x + 28y = -6 ---------------(5)

  • Using elimination method to eliminate x from equation (4) and (5)

Make the coefficient of x same in both equation.

Multiply equation (4) by 5 and equation (5) by 3

15x - 110y = 10

-15x + 84y = -18

Add above equation to eliminate x

        -26y = -8

        y=\dfrac{4}{13}

Substitute y into equation (5) to get x

So, -5x+28(\frac{4}{13})=-6

x=\dfrac{38}{13}

Substitute x and y into equation (1)

-3\cdot \frac{38}{13}-4\cdot \frac{4}{13}-3z=-7

z=-1

Solution:

x=\dfrac{38}{13},y=\dfrac{4}{13}\text{ and }z=-1

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Answer:

(-6, 3)

Step-by-step explanation:

The function f(x) = a |x − h| + k has its vertex at (h, k).

In this case, the vertex is (-6, 3).

8 0
3 years ago
A large farm tractor costs $98,424. If a farmer makes 36 equal payments, how much is each payment
mrs_skeptik [129]

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2 years ago
If you add the lengths of the focal radii of an ellipse, what other value will you produce?
ss7ja [257]

Equation of an ellipse

→having center (0,0) , vertex ((\pm a ,0) and covertex (\pm b ,0) and focus (\pm c ,0) is given by:

\frac{x^2}{a^2} + \frac{y^2}{b^2}=1

As definition of an ellipse is that locus of all the points in a plane such that it's  distance from two fixed points called focii  remains constant.

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8 0
3 years ago
Read 2 more answers
Help me with this please
insens350 [35]
%69 of visited only one place
4 0
3 years ago
Liz is hiking a trail that is 0.8 miles long. Liz hikes the first 2 tenths of the distance by herself. She hikes the of the way
antoniya [11.8K]
0.6 miles.

Since there is 0.8 miles to hike in total, she hiked 0.2 miles.

To solve, we just easily subtract the amount that Liz hiked from the amount that needs to be hiked.

She hiked 0.2 miles, which means we need to subtract 0.2 from 0.8.

8 - 2 = 6

The answer is 0.6 miles.
3 0
3 years ago
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