SOLUTION: Find the points of intersection of the line 3x+2y=10, with the curve x^2-xy+y^2=21

Algebra.Com
Question 868572: Find the points of intersection of the line 3x+2y=10, with the curve x^2-xy+y^2=21
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!



Substitute,







Two solutions:


Then,



and



Then,




RELATED QUESTIONS

Find the y-coordinates of the points of the intersection of the curve with equation y=x^2 (answered by Fombitz)
The line 5x-5y=2 touches the curve x^2y-5x+y+2=0, find the coordinates of the points of... (answered by Alan3354)
Find the points of intersection the line with the equation y=x-4 and the curve with... (answered by math_helper)
A question: Show that the line x+16y+209=0 is normal to the curve y=10x-3x^2 at one of... (answered by lwsshak3)
Find the equation of the line that passes through the points of intersection of y = x + 6 (answered by josgarithmetic)
Find the equation of the line that passes through the points of intersection of y = x + 6 (answered by josgarithmetic)
find all points of intersection of the system of -x+2y=-2 and 3x+y=20 by graphing. (answered by sofiyac)
a curve is defined in the x-y plane by the y=(x-1)(ax^2 +bx+c) where a band c are... (answered by greenestamps)
A line goes through points (0, 2) and (1, 1). What is the x-coordinate of the... (answered by Alan3354)