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CAIE IGCSE Mathematics Non-linear Simultaneous Equations

Review CAIE IGCSE Mathematics non-linear simultaneous equations through substitution, quadratic solving and line-curve intersection coordinates.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Extended

Exam points

  • substitute a linear equation into a quadratic equation to form a solvable quadratic
  • find both coordinate pairs where a straight line intersects a quadratic curve
  • use factorisation or the quadratic formula to solve non-linear simultaneous equations

E2.5.5 Solve linear and non-linear simultaneous equations question 1

[Maximum number: 4]

Solve these simultaneous equations.

y=x2−4x+5y=2x−3\begin{aligned} & y=x^{2}-4 x+5 \\ & y=2 x-3 \end{aligned}

You must show all your working.

x=……………….y=……………….x=……………….y=……………….[5]\begin{aligned} & x=\ldots \ldots \ldots \ldots \ldots \ldots . y=\ldots \ldots \ldots \ldots \ldots \ldots . \\ & x=\ldots \ldots \ldots \ldots \ldots \ldots . y=\ldots \ldots \ldots \ldots \ldots \ldots .[5] \end{aligned}
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