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The solution to the system of equation 2x − y = 3 and x + y = 3 is:

Question

The solution to the system of equation 2x − y = 3 and x + y = 3 is:

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Solution

Step 1: Write down the system of equations:

2x - y = 3 x + y = 3

Step 2: Add the two equations together:

(2x - y) + (x + y) = 3 + 3 3x = 6

Step 3: Solve for x:

x = 6 / 3 x = 2

Step 4: Substitute x = 2 into the second equation:

2 + y = 3 y = 3 - 2 y = 1

So, the solution to the system of equations is x = 2 and y = 1.

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