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what point is the intersection of the graphs of the lines x+y=8and 2x-y =1?

A.(1,8) B.(3,5) C.(5,3) D.(2,6)


Sagot :

Letter B, 3 and 5.

x+y=8 and 2x-y=1
3+5=8 and 2(3)-5=1
8=8 and 1=1
x+y=8
2x-y=1
-------------
3x=9
x=3

We used elimination because it is easier. Add x+2x and y+(-y) and 8+1, then above is the result.

Substitute the value, with any equation
x+y=8
3+y=8
Subtract 3 from both sides
y=5

Therefore the coordinates is (3,5). So the answer is letter B. Hope this helps =)