SOLUTION: How to do the System of equations. It says solve the system of equations
a) 2x+3y+7z=13 b) x+3y+5z=20
3x+2y-5z=-22 y-4z=-16
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Question 729957: How to do the System of equations. It says solve the system of equations
a) 2x+3y+7z=13 b) x+3y+5z=20
3x+2y-5z=-22 y-4z=-16
5x+7y-3z=-28 3x+2y+9z=36
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
a)
........eq. 1
........eq. 2
........eq. 3
________________________
........eq. 1 ..both multiply: eq1 by 3, eq 2 by 2
........eq. 2
........eq. 1
........eq. 2 .......subtract
______________________
......eq. 1a
........eq. 2 ...both multiply: eq2 by 5, eq 3 by 3
........eq. 3
________________________
........eq. 2
........eq. 3
________________________.......subtract
......eq. 2a
take eq. 1a and 2a
......eq. 1a....both multiply: eq1a by 11, eq 2a by 5
......eq. 2a
_____________________________
......eq. 1a.
......eq. 2a
_____________________________...add
now go back to ......eq. 1a., plug in and solve for
now go back to ........eq. 1., plug in and and solve for
........eq. 1
b)
........eq. 1
.............eq. 2
........eq. 3
________________________
........eq. 1 ..multiply: eq1 by 3,
........eq. 3 ...subtract
______________________
.........................eq. 1a
take
.........................eq. 1a
.............eq. 2 ............multiply by and subtract
______________________________
.........................eq. 1a
.............eq. 2
____________________________subtract
go back to
.............eq. 2 , plug in and solve for
go to ........eq. 1 plug in and and solve for
.
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