4(b - 6) + 19 # Starting equation
4b - 24 + 19 # Using the distributive property
4b - 5 # Simplified expression
Expanding the left side gives
which gives two solutions,
and
. But if
, then
, but this number isn't real, so
is an extraneous solution. Meanwhile if
, you get
, so this solution is correct.
"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
I believe the correct answer from the choices listed above is option A. The <span>system can be changed so that the two equations have equal x-coefficients by multiplying </span><span>both sides of the top equation by 2 resulting to 6x + 4y = 24. Hope this answers the question.</span>
