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 ▸3. The point P lies on the curve with equation y=ln(x/3) The x-coordinate of P is 3. Find an equation of the normal to the curve at the point P in the form y = ax + b, where a and b are constants.
The graph with equation y= x^3 - 6x^2 + 11x - 6 intersects the x axis at 1, find the other 2 points at which the graph intersects the x axis
Factorise completely x − 4 x^3
Express (3-5x)/(x+3)^2 in the form A/(x+3) + B/(x+3)^2