2x + y = 10 and 4y - 5x = 1, solve for x and y.

Rearrange one of the linear equations in order to have x or y written as an equation of the other. I.E 1) y =10 - 2x.Then substitute this value into the other equation: 4(10 - 2x) - 5x = 1, hence 39 = 13x which tells us x = 3.Substitute this value of x into either original equation to find y.