Simultaneous equations like 𝒚 = 2𝒙 - 1 and 𝒚 = 𝒙 + 1 can be represented graphically. To solve the equations graphically, the two lines 𝒚 = 𝒙 + 1 and 𝒚 = 2𝒙 - 1 are drawn on the same diagram.

Find the gradient and y-intercept for the straight line with equation \(2x + y - 13 = 0\). Rearrange the equation into the form \(y = mx + c\) using the algebraic rules for solving equations.