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2 years ago

Add the following: (i) 2a+b+c, a - b -c, 3a + b

Mathematics

1 answer:

zmey [24]2 years ago

4 0

Add like terms the answer will be 6a+b+c

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Solve the system <br> 2x+2y+z=-2 <br> -x-2y+2z=-5<br> 2x+4y+z=0

drek231 [11]

The values of (x,y,z) are (3,-1,-2) , if the given are equations $2x+2y+z=- 2$ , $-x-2y+2z=-5$ and $2x+4y+z=0$ .

Step-by-step explanation:

The given is,

$2x+2y+z=- 2$ .......................................(1)

$-x-2y+2z=-5$ ......................................(2)

$2x+4y+z=0$ .........................................(3)

Step:1

Equation (2) is multiplied by -1 ( Eqn(2) × -1 )

$x+2y-2z=5$ .............................(4)

Subtract the equation (1) and (4)

$2x+2y+z=- 2$

$x+2y-2z=5$

( - )

$(2x-x)+(2y-2y)+(z+2z)=(-2-5)$

$x+3z=-7$ ......................(5)

Step:2

Equation (2) is multiplied by -2 ( Eqn(2) × -2)

$2x+4y-4z=10$ ........................(6)

Subtract equation (6) and (3),

$2x+4y-4z=10$

$2x+4y+z=0$

( - )

$(2x-2x)+(4y-4y)+(-4z-z)= (10-0)$

$-5z=10$

$z = - \frac{10}{5}$

z = -2

From the equation (5),

$x+3z=-7$

$x+(3)(-2)=-7$

$x = -7+6$

x = -1

From equation (1),

$2x+2y+z=- 2$

Substitute x and z values,

$(2)(-1)+2y+(-2)=-2$

$2y - 4=2$

$2y=4-2$

$2y=2$

$y=\frac{2}{2}$

y = 1

Step:3

Check for solution,

$-x-2y+2z=-5$

Substitute x,y and z values,

$-(-1)-(2)(1)+(2)(-2)=-5$

$1-2-4=-5$

-5 = -5

Result:

The values of (x,y,z) are (3,-1,-2) , if the given are equations $2x+2y+z=- 2$ , $-x-2y+2z=-5$ and $2x+4y+z=0$ .

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4 years ago

The puppy weighed 2 pounds when it was born. He has gained weight, but still weighs less than 11 pounds. How much weight could h

Makovka662 [10]

3-10 pounds
because it has to be more than 2 pounds and less than 11. hope it helps

6 0

3 years ago

Helps ASAP please and I will give brainliest plssssss and pls answer correctly

masya89 [10]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is 6/7 +8/36+9/45 equal?

valkas [14]

Answer: 1.27936507937

5 0

3 years ago

Good Morning! Easy Question!!! Please don't answer just for points!!

uysha [10]

Answer:

if i'm not wrong it should be 2.8

Step-by-step explanation:

I'm realy not sure

Sorry if i'm wrong

5 0

3 years ago

Add the following: (i) 2a+b+c, a - b -c, 3a + b​

Add the following: (i) 2a+b+c, a - b -c, 3a + b