Solve this simultaneous equations, clearly showing all of your workings: x^2 + 2y =9, y - x = 3

Equation 1: x2 + 2y = 9Equation 2: y - x = 3
Rearrange equation 2: y = 3 + x
Substitute y = 3 + x into equation 1x2 + 2(3 + x) = 9x2 + 6 + 2x = 9x2 + 2x - 3 = 0(x + 3)(x - 1) = 0so x = 1 and -3
substitute x = 1 into rearranged equation 2y = 3 + 1y = 4
substitute x = -3 into rearranged equation 2y = 3 - 3y = 0
So when x = -3, y= 0and when x = 1, y = 4

EJ

Related Maths GCSE answers

All answers ▸

How many solutions does a quadratic equation have?


There are 31 days in January. January 21st 2015 was a Wednesday. What day of the week was February 8th 2015?


simplify fully: (x^2+x-6)/(x^2-7x+10)


(x(x+1))/2 = 3 Solve For x.