How do I find the intersection of the lines. x + y = 5 and 3x - y = 1 to where I can graph the lines?

Thank you for the opportunity to help you with your question!

solve the equations to find the intersection,

x+y =5

3x-y = 1

add the two eqs,

4x =6

x = 3/2

y = 7/2

I do not understand how to do it. I need clarification.

add the two eqs:

left side to left side and right side to right side

x+y+3x-y = 5+1

4x=6

4x/4 = 6/4

x = 6/4 = 3/2

then plug in x = 3/2 into x+y = 5

3/2+y = 5

so

y = 5-3/2 = 7/2

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