Question

Select the correct answer. Which system of equations has a solution of (-2,0,1); QA I ty = -2 y – 2 = 1 + - 2 = -1 B. -31 + 2y = 6 y + z = 2 - Y - 2 = -1 OC. 3r - y = -6

Answer 1

We are to find the system of equation that has a solution of (-2,0,1).

From the above statement, x = -2, y = 0 and z = 1.

In order to now find the appropriate system for the solution, we need to substitute these values into all the four given options.

After careful substitutions, I was able to find the correct one as follows;

Recall that x = -2, y = 0 and z = 1.

`\begin{gathered} 3x\text{ - y = -6} \\ 3(-2)\text{ - 0 = -6} \end{gathered}`
`\begin{gathered} 2y\text{ - 5z = }-5 \\ 2(0)\text{ - 5(1) = 0 - 5 = -5} \end{gathered}`