# algebra

posted by .

solve the system

2x-y+z=3
x+3y-2x=11
3x-2y+4z=1

• algebra -

double the first equation, then add that to the second to get
5x+y = 17

double the second, then add that to the third to get
5x + 4y = 23

now subtract those last two equations to get
3y = 6
y = 2
put that into 5x + y = 17 for
5x = 15
x = 3

now in the first
6 - 2 + z = 3
z = -1

I assumed your second equation had -2z at the end. typo ??

• algebra -

Thanks, yes, typo
I just finished solving it a long way, I solved the first two, then the second two,,etc etc. Your way seems much easier, I did get the same answers, yeah!!!! But, will your way always work?

## Similar Questions

1. ### College Algebra

Solve the system of equations using matrices. If system has no solution say its inconsistent. 6x + y = 5 3x - y + z - w = 8 z + w = 2 Solve the system of equations using Cramers Rule if applicable. 4x + 2y = 8/5 5x - 5y = 5
2. ### College Algebra

Solve the system of equations. Then classify the system. 7x-7y= -42 -7y-7x=42 What is the solution of the system?
3. ### algebra

i need help with these problems (either a solution or how to plug them into a graphing calculator): 1) Solve by substitution or elimination 4/x + 1/y + 2/z = 4 2/x + 3/y - 1/z = 1 1/x + 1/y + 1/z = 4 2)Solve the system of equations …
4. ### math

Please explain in detail how to solve each question: At a certain high school, 350 students are taking an algebra course. The ratio of boys to girls taking algebra is 33:37. How many more girls are taking algebra than boys?
5. ### Algebra

Use Cramer's rule to solve the following system of equations. If D=0, use another method to solve the system. x+y=11 x-y=5
6. ### algebra 2

Nonlinear homework... Solve the system by elimination. 1)y=x^2+2 -4x-y=10 2) Solve the system using substitution. Y=-3x^2+x-2 Y=-5x+3
7. ### algebra 2

Nonlinear systems Solve the system by elimination. y=x^2+2 -4x-y=10 Solve the system using substitution. y=-3x^2+x-2 y=-5x+3
8. ### Algebra

I need help I don't know how to solve this system Solve the following system. Show all your work 3x-2y+2z= 30 -x+3y-4z= -33 2x-4y+3z= 42
9. ### Algebra, help needed

I need help I don't know how to solve this system Solve the following system. Show all your work 3x-2y+2z= 30 -x+3y-4z= -33 2x-4y+3z= 42
10. ### Algebra

7x + 5 = y 3.5x + 20 = y Solve the system of equations. What method did you use to solve the system and why?

More Similar Questions