We are given a system of two linear equations: $6x + 3y = 21$ $5x + 3y = 21$ We need to solve for $x$ and $y$.

1. Problem Description

We are given a system of two linear equations:

$6x + 3y = 21$

$5x + 3y = 21$

We need to solve for $x$ and $y$.

2. Solution Steps

We can solve this system of equations using the elimination method. Subtract the second equation from the first equation to eliminate the $y$ variable:

$(6x + 3y) - (5x + 3y) = 21 - 21$

$6x + 3y - 5x - 3y = 0$

$x = 0$

Now that we have the value of $x$, we can substitute it into either equation to solve for $y$. Let's use the first equation:

$6x + 3y = 21$

$6(0) + 3y = 21$

$0 + 3y = 21$

$3y = 21$

$y = \frac{21}{3}$

$y = 7$

Therefore, the solution is $x = 0$ and $y = 7$.

3. Final Answer

$x = 0$

$y = 7$