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
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