## Elementary Algebra

Because 2x + 1 is in the denominator, and the denominator cannot equal 0, 2x + 1 $\ne$ 0 2x $\ne$ -1 x $\ne$ -$\frac{1}{2}$ Because x - 3 is in the denominator, and the denominator cannot equal 0, x - 3 $\ne$ 0 x $\ne$ 3 To solve this equation, we equate the cross products. 8 $\times$ (x - 3) = 4 $\times$ (2x + 1) Use the distributive property. 8x - 24 = 8x + 4 Subtract 8x from both sides. -24 = 4 We can see that this equation will never be true for any value of x.