Find the coordinates of the point of intersection of the lines 2x + 5y = 5 and x − 2y = 4.
Rearrange both equations to make y the subject:2x + 5y = 5 rearranges to y = -2x/5 + 1 and x - 2y = 4 rearranges to y = x/2 - 2Equate both the rearranged equations and solve for x:-2x/5 + 1 = x/2 - 2x = 10/3Substitute x into one of the equations to solve for y:2(10/3) + 5y = 5y = - 1/3So the coordinates of intersection are: (10/3, - 1/3)
EO
Related Maths A Level answers
All answers ▸Find the area enclosed by the curve y = 3x - x^2 and the x-axis
What is the equation of the curve that has gradient dy/dx=(4x-5) and passes through the point (3,7)?
Find dy/dx when x+2y+3y^2= 2x^2+1
Express the following as a partial fraction: (4x^2+12x+9) / (x^2+3x+2) .