#### Answer

$x = 1$
$y = 7$

#### Work Step by Step

To solve a system of equations using substitution, we plug in an expression in place of a variable.
$6x + 1 = 2x + 5$
Subtract $1$ from each side of the equation to move constants to the right side of the equation:
$6x = 2x + 4$
Subtract $2x$ from each side of the equation to move variables to the left side of the equation:
$4x = 4$
Divide each side of the equation by $4$ to solve for $x$:
$x = 1$
Now that we have the value for $x$, we can substitute it into one of the equations to solve for $y$:
$y = 2(1) + 5$
Multiply first:
$y = 2 + 5$
Add to solve:
$y = 7$