Question 317974
Solve for Y:
{{{sqrt(7Y+4) = sqrt(Y-2)}}} Square both sides.
{{{7Y+4 = Y-2}}} Subtract Y from both sides.
{{{6Y+4 = -2}}} Subtract 4 from both sides.
{{{6Y = -6}}} Divide both sides by 6.
{{{Y = -1}}} Check:
{{{sqrt(7Y+4) = sqrt(Y-2)}}} Substitute Y = -1.
{{{sqrt(7(-1)+4) = sqrt(-1-2)}}} Simplify.
{{{sqrt(-3) = sqrt(-3)}}}