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2x + y = 8. x + y = 4. The lines whose equations are given intersect at.

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1 Answer

Hi again Lindsey;
2x + y = 8
x + y = 4
Let's do the process of elimination.
Let's subtract the second equation from the first...
2x + y = 8
-(x + y = 4)
x+0=4
x=4
Let's plug this into either equation to establish y.  The second equation is easiest...
x + y = 4
4+y=4
y=0
Let's plug both values into the first equation to verify...
2x + y = 8
[(2)(4)]+0=8
8+0=8
8=8
It works!
THE ANSWER IS (A) (4,0).