SOLUTION: Solve the following system of equations for the unknown variables.
2x + y = 17
y + z = 6
x – z = 7
Algebra.Com
Question 143784: Solve the following system of equations for the unknown variables.
2x + y = 17
y + z = 6
x – z = 7
Found 2 solutions by ankor@dixie-net.com, scott8148:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
2x + y + 0 = 17
0x + y + z = 6
x + 0 – z = 7
-----------------adding eliminates z
3x + 2y = 30
:
multiply the 1st equation by 2 and subtract the above equation
4x + 2y = 34
3x + 2y = 30
-----------------subtracting eliminates y
x = 4
:
Use x - z = 7 to find z
4 - z = 7
-z = 7 - 4
-z = 3
z = -3
:
You should be able to find y
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
subtracting z from 2nd equation __ y=6-z
adding z to 3rd equation __ x=7+z
substituting into 1st equation __ 2(7+z)+(6-z)=17 __ distributing __ 14+2z+6-z=17
20+z=17 __ subtracting 20 __ z=-3
substituting __ y+(-3)=6 __ adding 3 __ y=9
substituting __ x-(-3)=7 __ adding -3 __ x=4
RELATED QUESTIONS
Solve the following system of equations for the unknown variables.
2x + y = 17
y + z... (answered by jim_thompson5910)
Solve the following system of equations for the unknown variables.
3x + 3y = 3
-3x –... (answered by nabla)
Solve the following system of equations for the unknown variables.
3x+3y=3
-3x-2z=-11... (answered by fractalier)
Solve the following system of equations for the unknown variables.
x + y = 12
x – y = (answered by Fombitz)
Solve the following system of equations for the unknown variables.
X + y =12... (answered by MathLover1)
Solve the following linear system:
z= 2x + 3y - 17
y= -3z - 7
x= z+2 / 2
(answered by Fombitz)
Solve the following system of equations.
x + y – 4z = –7
2x + 3y – 3z = –6
2x +... (answered by lynnlo)
Solve the following system of linear equations:
x + 2y - z = 5
2x - y + z = 2
(answered by Alan3354,vic21)
Solve for x, y, and z in the following system of equations.
x + 2y + z = 2
(answered by bonster)