Question

)
Solve the following systems of equations by using el-
ementary row operations:
x-y+3z=1,2x+y-z=2,3x-y+2z=2.​

Answer 1

Answer:

x=5/7

y=1

z=3/7

Step-by-step explanation:

x-y+3z=1----(1)

2x+y-z=2----(2)

3x-y+2z=2----(3)

adding equation (1) &(3), we get

3x+2z=3----(a)

adding equation (2)&(3), we get

5x+z=4----(b)

Multiply equation (b) by 2, we get

10x+2z=8----(c)

subtracting (a) from (c), we get

7x=5

than,

x=5/7

put value of x in any of (a), (b), (c)

15/7+2z=3 ----------- putting value in (a)

we get,

2z=6/7 or z=3/7

put both values of x and z in any of (1),(2),(3)

5/7-y+9/7=1 ----------- putting value in (1)

we get,

7y=7 or y= 1