First, solve one of the equations for one variable in terms of the other:
From the first equation, we have: y = x - 3.
Next, substitute this expression for y into the second equation:
4x - 9 = x - 3.
Simplify the equation:
3x - 9 = -3.
Add 9 to both sides:
3x = 6.
Divide both sides by 3:
x = 2.
Now substitute this value of x back into the first equation to solve for y:
y = 2 - 3.
y = -1.
Therefore, the solution to the system of equations is x = 2 and y = -1.
Solve the system using substitution:
x - 3 = y
4x - 9 = y
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