algebra
posted by Terri .
solve the system
2xy+z=3
x+3y2x=11
3x2y+4z=1

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 ?? 
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?
Respond to this Question
Similar Questions

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 
College Algebra
Solve the system of equations. Then classify the system. 7x7y= 42 7y7x=42 What is the solution of the system? 
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 … 
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? 
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 xy=5 
algebra 2
Nonlinear homework... Solve the system by elimination. 1)y=x^2+2 4xy=10 2) Solve the system using substitution. Y=3x^2+x2 Y=5x+3 
algebra 2
Nonlinear systems Solve the system by elimination. y=x^2+2 4xy=10 Solve the system using substitution. y=3x^2+x2 y=5x+3 
Algebra
I need help I don't know how to solve this system Solve the following system. Show all your work 3x2y+2z= 30 x+3y4z= 33 2x4y+3z= 42 
Algebra, help needed
I need help I don't know how to solve this system Solve the following system. Show all your work 3x2y+2z= 30 x+3y4z= 33 2x4y+3z= 42 
Algebra
7x + 5 = y 3.5x + 20 = y Solve the system of equations. What method did you use to solve the system and why?