Question

A student is trying to solve the set of two equations given below:Equation A: x + z = 6Equation B: 3x + 2z = 1Which of the following is a possible step used in eliminating the z-term

Answer 1

`\begin{gathered} Let\colon \\ x+z=6_{\text{ }}(A) \\ 3x+2z=1_{\text{ }}(B) \end{gathered}`
`\begin{gathered} Multiply_{\text{ }}A_{\text{ }}by_{\text{ }}-2\colon \\ -2(x+z)=-2(6) \\ -2x-2z=-12 \\ Add_{\text{ }}A_{\text{ }}and_{\text{ }}B\colon \\ -2x+3x-2z+2z=-12+1 \\ x=-11 \end{gathered}`

multiply equation A by -2