Solve the following system of equations for all three variables/Solve for X, Y and Z

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

7 0

Answer:

$- x + 5y - 10z = - 8 \\ 2x - y + 10z = 6 \\ \\ add \: (1) \: and \: (2) \\ x + 4y = - 2 \: (4) \\ add \: (2) \: and \: (3) \\ 2x - y + 10z = 6 \\ - 7x - 3y - 10z = 4 \\ - 5x - 4y = 10 \: (5) \\ add \: (4) \: and \: (5) \\ - 4x = 8 \\ \therefore \: x = - 2 \\ sub \: x \: in \: (4)\\ \: - 2 + 4y = - 2 \\ \therefore \: y = 0 \\ sub \: x \: and \: y \: in \: (3) \\ 2( - 2) - (0) + 10z = 6 \\ \therefore \: z = 1$

You may also use matrices to solve this problem that would be much faster...

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Solve the problems using systems of equations.

maw [93]

Step-by-step explanation:

Let the two numbers be x and y

x+y =5 ---1

x-y =-3 ---2

Rearrange equation 1

x =5-y

Substitute x in the second equation

(5-y)-y =-3

5-y-y =-3

5-2y =-3

Collect like terms

5+3 = 2y

8 = 2y

Divide both sides by the coefficient of y (2)

8/2 = 2y/2

4 = y

y= 4

Substitute y in equation 1

x+4 =5

Subtract 4 from both sides

x+4-4 = 5-4

x+0 = 1

x= 1

The two numbers are 1 and 4

5 0

2 years ago

Please help me im so confused

grigory [225]

Answer:

the answer is 9w+2/3

Step-by-step explanation:

Please mark me branliest

6 0

3 years ago

Read 2 more answers

I’m studying for my Sat later in the month, and even using the answer key I don’t understand how to solve this question. Help?

shepuryov [24]

So with this equation, since the volume of the cylinder is 96 pi, plug that into the V variable, and since the radius of one of the marbles is 3, plug that into the r variable. From here, we can solve for x: $96\pi =24\pi +x(\frac{4}{3}\pi*3^3)$