sat suite question viewer
If x is the solution to the equation above, what is the value of ?
Explanation
Choice B is correct. Because 2 is a factor of both and 6, the expression
can be rewritten as
. Substituting
for
on the left-hand side of the given equation yields
, or
. Subtracting
from both sides of this equation yields
. Adding 11 to both sides of this equation yields
. Dividing both sides of this equation by 2 yields
.
Alternate approach: Distributing 3 to the quantity on the left-hand side of the given equation and distributing 4 to the quantity
on the right-hand side yields
, or
. Subtracting
from both sides of this equation yields
. Adding 29 to both sides of this equation yields
. Dividing both sides of this equation by 2 yields
. Therefore, the value of
is
, or
.
Choice A is incorrect. This is the value of x, not . Choices C and D are incorrect. If the value of
is
or
, it follows that the value of x is
or
, respectively. However, solving the given equation for x yields
. Therefore, the value of
canโt be
or
.