Respuesta :
Answer:
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation
Step-by-step explanation:
Let us verify our answer
A system of the equation of a circle and a linear equation
Let an equation of a circle as [tex]x^2+ y^2 = 1[/tex] ..........(1)
Let a liner equation Y = x ............(2)
substitute (2) in (1)
[tex]x^2 + x^2 = 1\\2x^2 = 1\\[/tex]
[tex]x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex] so Y = [tex]+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]
so the two solution are ( [tex](\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }[/tex])
A system of the equation of a parabola and a linear equation
Let equation of Parabola be [tex]y^2 = x[/tex]
and linear equation y = x
substitute
[tex]x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1[/tex]
Y = 0,1
so the two solutions will be (0,0) and (1,1)
