Question

Please help me with my Algebra homework!!!

Answer 1

B) No Unique Solutions

Explanation:

Given:

`z=x+5y-14`

`-2y=-4\\y={-4}{-2}=2`

`3x+y-3z=14`

now we now the value of y = 2 so we will substitute in equation
`z=x+5y-14`

`z=x+5*2-14\\z=x+10-14\\z= x-4`

Now, We have value of y=2 and value of
`z=x-4` Substituting in both the value in equation
`3x+y-3z=14`

`3x+2-3(x-4)=14\\3x+2-3x+12=14\\14=14`

which means that the equation has Infinite solutions.