Solve the system?

Question

3x + y = 6
3x - y = 0

Answer 1

3x + y = 6- - - - -Equation 1
3x - y = 0- - - - - Equation 2
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6x = 6

6x/6 = 6/6

x = 1

The answer is x = 1

insert the x value into euation 1

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Solving for y equation 1

3x + y = 6

3(1) + y = 6

3 + y = 6

3 + y - 3 = 6 - 3

y = 3

The answer is y = 3

Insert the y value into equation 1
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Check for equation 1

3x + y = 6

3(1) + 3 = 6

3 + 3 = 6

6 = 6

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Check for equation 2

3x - y = 0

3(1) - 3 = 0

3 - 3 = 0

0 = 0

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The solution set is { 1, 3 }

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Answer 2

3x+ y =6 - eq 1
3x-y =0 - eq 2
2y = 6 - eq1 - eq 2
y=6/2
y=3

3x +3=6
3x = 3
x = 3/3
x=1

substitute values back into original equations to check.

Answer 3

x=1, y=3

Adding the 2 equations, you get 6x=6. therefore x=1. Substituting x=1 in either equation gives you y=3