Question

What is the result of adding the system of equations? 2x+y=4 3x-y=6

Answer 1

2x + y = 4

3x - y = 6

I + II

2x + y + 3x - y = 4 + 6

5x = 10

x = 2

2*2 + y = 4

y = 0

Answer 2

5x = 10

Yields

x=2 y=0

Explanation:

2x+y=4 3x-y=6

We want to add these equations

2x+y=4

3x-y=6

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5x = 10

If we divide by 5 on each side

5x/5 = 10/5

x =2

Now we can find y

2x+y =4

2(2) +y = 4

4+y =4

Subtract 4 from each side

4-4 +y = 4-4

y =0