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Alex17521 [72]
3 years ago
15

Use graphing to find the solution of the system of equations. -x^2+y=1, -x+y=2

Mathematics
1 answer:
vladimir2022 [97]3 years ago
5 0

ANSWER


x=-0.62 or x=1.62




EXPLANATION


For -x^2+y=1



We make y the subject to obtain,



y=x^2+1


We can easily graph this function, because we just have to transform the graph of y=x^2 by shifting the intercept up to 1.



As for the straight line, -x+y=2,


We find the intercepts as follows,



When y=0,x=-2.


When x=0,y=2.


We plot the points (-2,0) and


(0,2).



We now draw the two graphs on the same graph sheet. The intersection of the two graphs gives the solution to be


x=-0.62 or x=1.62


See graph




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