Need more Algebra 2 help!

[p625812]

Here's the problem - I can not figure it out. I think it either has no solution or there's a typo in the problem. Any help would be very helpful! Thanks!

For each linear system, determine the nature of the solutions by algebra (i.e by the substitution method or the addition/subtraction method)

b. 3x - y + z = 10
x + y + z = 3
2x - 2y = 7

 

[wjm11]

I think it either has no solution or there's a typo in the problem. Any help would be very helpful! Thanks!

For each linear system, determine the nature of the solutions by algebra (i.e by the substitution method or the addition/subtraction method)

b. 3x - y + z = 10
x + y + z = 3
2x - 2y = 7

No solution.

 

[Deleted member 4993]

Here's the problem - I can not figure it out. I think it either has no solution or there's a typo in the problem. Any help would be very helpful! Thanks!

For each linear system, determine the nature of the solutions by algebra (i.e by the substitution method or the addition/subtraction method)

b.
3x - y + z = 10 .............................(1)
x + y + z = 3....................................(2)
2x - 2y = 7...................................(3)

Subtract (2) from (1)

2x - 2y = 7 ? (3) ................ so there are infinite number of solutions