## College Algebra (11th Edition)

$5x=4x$ By subtracting 4x, you're left with the equation x=0 which also happens to be a solution (i.e. it satisfies the original equation). $x=0$ We can check this by replacing 0 with the variables of the original equation. $5(0)=4(0)$ The equation yields a true statement (0=0),and so we know that 0 is a correct solution. This also shows that the equation is a conditional equation which also refutes the student's original reasoning. $0=0$