Question

Part 1: Explain, in complete sentences, which method you would use to solve the following system of equations. (1 point)

Part 2: Explain why you chose that method (1 point)

Part 3: Provide the solution to the system. (2 points)

x – 3y + 2z = –12
x + 2y + 3z = 6
2x – 3y – z = –2

Answer 1

What math are you taking?

Answer 2

Algebra 2

Answer 3

Yeah i don't know. I would say substitution.

Answer 4

well, I've got how to with two equations, just cant remember how to do three.

Answer 5

Having trouble, cuz if you can just tell me what do do, you dont have to give me the answer, I'll just figure it out

Answer 6

such question is a system of linear equation for further mathematics....so we can reduce it to triangular system and use back substitution...........gaussian elimination would also be appropriate.....or use matrix format with row reduction appplication...actually i am doing an assignment on it

Answer 7

the y is because we have 3 equations with 3 unknowns in it.so the given methods will be right

Answer 8

Bro, i have no idea what you just said..

Answer 9

no bro but sis......i`ll give u the steps....you follow then do it....ok

Answer 10

Yeah I would say substitution too. Solving the first equation for x in terms of y and z yields, x=3y-2z-12. Substituting the value of x in the second and third equations yields a system of two equations in two unknowns:

(3y-2z-12)+2y+3z=6
2(3y-2z-12)-3y-z=-2

=>

3y-2z-12+2y+3z=6
6y-4z-24-3y-z=-2

=>

5y+z=18
3y-5z=22

for z gives, z=-5y+18

substituting the value of z in the second equation gives:

3y-5(-5y+18)=22
3y+25y-90=22
28y=112
y=4

substituting the value of y in the first equation:

5(4)+z=18
20+z=18
z=-2

substituting the value of y and z in the value of x that we first got ^^ :

x=3y-2z-12
x=3(4)-2(-2)-12
x=12+4-12
x=4

The solution set is: { (4,-2,4) }

Answer 11

Thank you soo much!

Answer 12

You're welcome!