amathproblemthatneedsolve
Junior Member
- Joined
- May 12, 2019
- Messages
- 189
This is a linear systems question:
Equation 1: 3x+y - 2z = -7
Equation 2: -az = x+y+6
To make the 3rd equation use the digits 2,2,1,9 they will be the coefficients of x,y,z, and constant term in that order, given the equation is in form ax+by+cz=d
1. write the 3rd equation and sole for the set of three equations when a= -3
Writing the 3rd one is this right? 2x+2y+z=9
solving the set of three equations. :
3x+y - 2z = -7
x+y-3z=-6
2x+2y+z=9
x,y,z = -2,5,3
2. find the values of a, for which the system is consistent. Give algebraic reasoning for your answer and interpret the solution geometrically
Not sure?
3. new set of equations where you use equation 1 and 2 again but equation 3 is made by timesing equation 1 by 3
3x+y - 2z = -7
x+y-3z=-6
9x+3y-6z=-21
working:
x,y,z= 0,-9,-1
4. new set of equations where you use equation 1 and 2 again but equation 3 is made by changing the constant -7 to 12
3x+y - 2z = -7
x+y-3z=-6
3x+y - 2z = 12
working:
x,y,z= I get nothing
Equation 1: 3x+y - 2z = -7
Equation 2: -az = x+y+6
To make the 3rd equation use the digits 2,2,1,9 they will be the coefficients of x,y,z, and constant term in that order, given the equation is in form ax+by+cz=d
1. write the 3rd equation and sole for the set of three equations when a= -3
Writing the 3rd one is this right? 2x+2y+z=9
solving the set of three equations. :
3x+y - 2z = -7
x+y-3z=-6
2x+2y+z=9
x,y,z = -2,5,3
2. find the values of a, for which the system is consistent. Give algebraic reasoning for your answer and interpret the solution geometrically
Not sure?
3. new set of equations where you use equation 1 and 2 again but equation 3 is made by timesing equation 1 by 3
3x+y - 2z = -7
x+y-3z=-6
9x+3y-6z=-21
working:
x,y,z= 0,-9,-1
4. new set of equations where you use equation 1 and 2 again but equation 3 is made by changing the constant -7 to 12
3x+y - 2z = -7
x+y-3z=-6
3x+y - 2z = 12
working:
x,y,z= I get nothing