Dacia987
Answered

Equation A: x + z = 6 Equation B: 3x + 2z = 1 Which of the following is a possible step in eliminating the z-term?

AMultiply equation A by -2.
BMultiply equation B by 2.
CMultiply equation A by 3.
DMulitply equation B by 3.

Verified Answer :

naǫ

To eliminate a term, its coefficients in both equations must be opposite numbers.

\(x+z=6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\times (-2) \\ 3x+2z=1 \\ \\ -2x-2z=-12 \\ \underline{3x+2z=1 \ \ \ \ \ \ \ \ } \\ x=-11 \\ \\ x+z=6 \\ -11+z=6 \\ z=6+11 \\ z=17 \\ \\ (x,y)=(-11,17)\)

The answer is A. multiply equation A by -2.

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