Solve the simultaneous equations y – 3x + 2 = 0, y^(2) – x – 6x^(2) = 0

Start on the easiest equation and solve to find yy-3x+2=0 <=> y=3x-2Then susbtitute in equation the expression of y in the second equation and simplify(3x-2)²-x-6x²=0 <=> 9x²-12x+4-x-6x²=0 <=> 3x²-13x+4=0Use the quadratic formula, x = −b ±√(b² − 4ac)/2a, where a=3, b=-13 and c=4, to find solutions for x=13±√((-13)² − 434)/23 <=> x=13±√(169 − 48)/6<=> x=13±(11/6) <=> x=89/6 U x=67/6Substitute the solutions of x on the first equation to solve for y=3(89/6)-2 U y=3*(67/6)-2 <=> y=42.5 U y=31.5