One linear and one quadratic simultaneous equations

In this lesson, we will solve simultaneous equations by equating the two equations, then solve them by factorising, rearranging or the quadratic formula.

In this lesson, we will solve simultaneous equations by substituting a linear equation into a quadratic equation. Examples include quadratics of the form x² + y² = r and x + y = 3, where r can be a square number.

In this lesson, we will solve simultaneous equations using substitution. You need to be confident in solving quadratics by factorisation and by the quadratic formula before starting this lesson.

In this lesson, we will investigate solutions to simultaneous equations by reading the coordinates of points of intersection in examples including linear, quadratic and circle graphs