We are given the following system of equations:

1. $2x - 4y = 6$
2. $3y = 9$

Step 1: Solve for $y$

From the second equation:
$3y = 9$ Divide both sides by 3: $y = 3$

Step 2: Substitute $y = 3$ into the first equation

$2x - 4(3) = 6$ Simplify: $2x - 12 = 6$

Step 3: Solve for $x$

Add 12 to both sides: $2x = 18$ Divide by 2: $x = 9$

Solution:

The solution to the system is: $x = 9, \quad y = 3$

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Would you like to see this graphically, or check using another method? Let me know!

5 Follow-up Questions:

1. How do you solve systems of equations using substitution and elimination methods?
2. What are the graphical interpretations of linear systems like this one?
3. How can we determine if a system of equations has no solution or infinitely many solutions?
4. Can this system be written in matrix form and solved using row reduction?
5. What are real-life applications of solving systems of linear equations?

Tip:

Always check your solutions by plugging them back into the original equations!