Determine which of the following is a solution to the system of equations

Question

Determine which of the following is a solution to the system of equations

3x − 3y + 6z = 6

x + 2y − z = 5

5x − 8y + 13z = 7

a. (5, 3, 0) Yes or No

b. (−2, 6, 5) Yes or No

(thank you in advance!!!!)

Answer 1

The simplest way to figure out if either, or both, of these are solutions to the system of equations is to plug them in.

Is it true that 3*5 - 3*3 + 6*0 = 6 AND 5 + 2*3 − 0 = 5 AND 5*5 − 8*3 + 13*0 = 7 ?

Is it true that 3*(-2) − 3*6 + 6*5 = 6 AND -2 + 2*6 − 5 = 5 AND 5*(-2) − 8*6 + 13*5 = 7 ?