Answer
$x = 1$
Work Step by Step
Label the equations first:
$\begin{align*}
2x + y = 6 \quad (1)\\
y - 3 = x \quad (2)\end{align*}$
Use equation $(2)$ to substitute for $x$ in equation $1$:
$2(y - 3) + y = 6$
Distribute and multiply:
$2y - 6 + y = 6$
Combine like terms:
$3y - 6 = 6$
Add $6$ to each side of the equation:
$3y = 12$
Divide each side of the equation by $3$:
$y = 4$
Substitute this value for $y$ into equation $(2)$ to solve for $x$:
$4 - 3 = x$
Subtract to simplify:
$x = 1$
