Solve the simultaneous equations: y=3x+2, x^2+y^2=20
y=3x+2 x^2+y^2=20 x^2+(3x+2)^2=20 x^2+(3x+2)(3x+2)=20 x^2+(9x^2+6x+6x+4)=20 x^2+(9x^2+12x+4)=20 10x^2+12x+4=20 10x^2+12x-16=0 5x^2+6x-8=0 (5x-4)(x+2)=0 5x-4=0, x+2=0 x=4/5=0.8, x=-2 y=3x+2, y=3x+2 y=3(0.8)+2, y=3(-2)+2 y=4.4, y=-4 When x=0.8, y = 4.4 When x=-2, y=-4
DC
Related Maths GCSE answers
All answers ▸Simplify fully (3x^2-8x-3)/(2x^2-6x)
A bag contains 5 blue marbles and 5 red marbles. If marbles are NOT replaced after being selected from the bag, what is the probability (in percentage) of picking 2 red marbles? Give your answer to one decimal place.
How do you find the HCF of 110 and 132
'There are two adults and two children in the Adams family. They buy an all-day travel ticket for each person. The price is £8 for each adult and £5 for each child. They also buy 4 ice-creams at £1.95 each. How much do they spend in total?'