Answer to Question #129557 in Algebra for Tommy

Question

Which of the following is the solution for x in the simultaneous equations x + y = 24 and 2x – y = -6

Answer 1

$$\begin{alignedat}{2} x+ y = 24 \\ 2x-y =-6 \end{alignedat}$$

$$\begin{alignedat}{2} y = 24-x \\ x+y+2x-y =24-6 \end{alignedat}$$

$$\begin{alignedat}{2} y = 24-x \\ 3x =18 \end{alignedat}$$

$$\begin{alignedat}{2} y = 24-x \\ x =6 \end{alignedat}$$

$$\begin{alignedat}{2} x=6 \\ y =18 \end{alignedat}$$

$x=6$