Solve the simultaneous equations: y+4x+1=0 and y^2+5x^2+2x=0

y= -4x-1y² = (-4x-1)² = 16x² +8x +1y² +5x² +2x = 0lets substitute what we found y² equal to earlier, which gives us(16x² +8x +1) + 5x² +2x = 021x² + 10x +1 = 0after factorising this we get(7x+1)(3x+1)so x = -1/7 and -1/3 given the y=-4x-1our answers must bewhen x=-1/7, y=-3/7x=-1/3, y=1/3