SOLUTION: solve for x,y, and z in the system of equations below. Explain your steps!!!??? x+7y+3z=29 3z+x-2y=-7 5y=10-2x

Question 828828: solve for x,y, and z in the system of equations below. Explain your steps!!!???
x+7y+3z=29
3z+x-2y=-7
5y=10-2x
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
x+7y+3z=29
3z+x-2y=-7
5y=10-2x
---
put the system of linear equations into standard form:
---
x+7y+3z=29
x-2y+3z=-7
2x+5y=10
---
copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution by matrix method:
x = -5
y = 4
z = 2
---
now elimination method:
---
x+7y+3z=29
(x-2y+3z=-7)*-1
---
x+7y+3z=29
-x+2y-3z=7
---
add subsystem:
---
9y=36
y = 4
---
(x+7y+3z=29)*-2
2x+5y=10
---
-2x-14(4)-6z=-58
2x+5(4)=10
---
add subsystem:
---
-36 - 6z =-48
-6z =-12
z = 2
---
x+7y+3z=29
x=29-7y-3z
x=29-7(4)-3(2)
x = -5
---
solution by elimination method:
x = -5
y = 4
z = 2
---
both methods agree !
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
RELATED QUESTIONS
Solve the system of equations given below X+ 3z=12 -x -2y+z=10... (answered by stanbon)

solve the system of equations x+y-z=2 -x+2y-3z=-7... (answered by ikleyn)

1.Solve the system of equations. x-2y+3z=7 2x+y+z=4... (answered by MathLover1,MathTherapy)

Solve the system of linear equations -2x+4y-z =8 x+7y+2z=5 3x+3y+3z=-3 PLZ... (answered by mananth)

solve the equations -x-3y+z=7,-2x-7y-3z=-9,and 5x+2y-2z=-6 (answered by TimothyLamb)

Solve the system of equations given: x+3z=12, -x-2y+z=10, 3x+5y+2z=-7 ... the answer in... (answered by Alan3354)

solve the following system of linear equations for x,y and z. x-2y+3z=-11 2x-z=8... (answered by MathLover1,solver91311)

Systems of Equations 1. Solve the following problems for X and Y i these two system... (answered by Alan3354)

Solve system of equations X+3y-2z=-9 6x-4y+3z=29... (answered by ewatrrr)