Solve the simultaneous equations x – 2y = 1 and x^2 + y^2 = 29.
Start by modifying the first equation and making a third x=2y+1x2 = (2y+1)2 x2=4y2+4y+1therefore, if we sub this 3rd equation into the 2nd equation we get :4y2+4y+1+y2=29 5y2+4y-28=0 5y2-10y+4y-28=0 5y(y-2)+14(y-2)=0 (y-2)(5y+14)=0 y=2 and y=-14/5 Hence, subbing y into original equations gives x= 5 and x= -23/5
AP
Related Maths A Level answers
All answers ▸7^6 x 7^3
How do you integrate a fraction when x is on the numerator and denominator?
Given that y = exp(2x) * (x^2 +1)^(5/2), what is dy/dx when x is 0?
The equation of curve C is 3x^2 + xy + y^2 - 4x - 6y + 7 = 0. Use implicit differentiation to find dy/dx in terms of x and y.