SOLUTION: hi please could you help me with the following question: Draw a suitable graph to find the estimates of the solutions of the simultaneous equations. {{{ x^2 + y^2 = 49 and x+y

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Question 1006945: hi please could you help me with the following question:
Draw a suitable graph to find the estimates of the solutions of the simultaneous equations.

I have tried to find out the plots to fill in the graph and have got some results for the x+y=5 line.
for this I got
x= 1 y = 4, x=2 7=3, x=3 y=2 and x=4 y=1
but I am unsure if these are correct and also am confused when doing the other line to find out the final answer.
Thank you in advance.
Found 3 solutions by Alan3354, MathLover1, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Draw a suitable graph to find the estimates of the solutions of the simultaneous equations.

I have tried to find out the plots to fill in the graph and have got some results for the x+y=5 line.
for this I got
x= 1 y = 4, x=2 7=3, x=3 y=2 and x=4 y=1
but I am unsure if these are correct and also am confused when doing the other line to find out the final answer.
--------------------
All your values are points on the line x+y = 5
----
You have to graph the circle and the line, and see where the 2 intersect.
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
..........eq.1
.........eq.2
---------------------------
.........eq.2.........solve for
.....substitute in eq.1

..........eq.1 ..solve for


......both sides divide by

...use quadratic formula





exact solutions:

or

now find




or





so, exact solutions:
,
or
,

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
She found the answers exactly, but you just wanted to estimate them.

x²+y²=49 is a circle with center at the origin and radius 7
x+y=5 is a line intersecting both axes at 5.






From the looks of the graph, the points of intersection look
to be about  and   


Edwin
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