Question 68558
Here are the Steps using Substition method
1. solve for x
x - 2 = 3
{{{highlight (x = 5)}}}
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3. Substitute 5 for x and solve for y.
3x - 6y = 9 , x = 5
3(5) - 6y = 9
15 - 6y = 9
-6y = -6
{{{highlight (y = 1)}}}
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4. Check the solution in both original equations.
3x - 6y = 9 , x = 5 and y = 1
3(5) - 6(1) = 9
15 - 6 = 9
9 = 9  ---> True

<br> Therefore, the solution of the equation is (5, 1) 

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{{{graph (300, 300, -3, 9, -3, 9, (1/2)x-3/2)}}}

<br> the graph of x = 5 is a vertical line along x = 5. The two line if graph together they will intersect when x = 5 and y = 1. 

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Happy graphing