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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)

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

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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 and 2x-y=1

3+5=8 and 2(3)-5=1

8=8 and 1=1

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

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 =)

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 =)