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.

Be careful to note what a GCSE question is asking. If it states ‘solve algebraically’ then you must do so. To find solutions from graphs, look for the point where the two graphs cross one another.

Differential equations are equations that contain derivatives. The equations are used in calculus to describe relationships among one or more variables. A solution to any series of equations can be ...

The characteristic functions satisfying (2) below are proved to be essentially the semi-stable laws. Auxiliary simultaneous integral equations are studied in Theorems 1, 2, 2' and 3. The final form of ...

Traditional tabular and graphical displays of results of simultaneous confidence intervals or hypothesis tests are deficient in several respects. Expanding on earlier work, we present new mean—mean ...