Edexcel IGCSE Math A 2.6.A simultaneous linear equations

Practise simultaneous-equation questions by eliminating or substituting one variable, then checking both values in the original pair.

Exam points

Use elimination or substitution to solve two linear equations in x and y.
Handle negative or decimal coefficients while showing clear algebraic working.
Substitute the first value back to find the second unknown and check the pair.

[Maximum number: 3]

Solve the simultaneous equations

\begin{aligned} & 5 x+y=11 \\ & 3 x-y=9 \end{aligned}

Show clear algebraic working.

\begin{aligned} & x= \\ & y= \end{aligned}

Working:
5x+y=113x-y=9
Adding:
$8x=20,\qquad x=2.5$ $5(2.5)+y=11,\qquad y=-1.5$

Final answer:
$x=2.5,\qquad y=-1.5$

M1 for a correct elimination or substitution method. M1 dep for finding the second variable. A1 dep on M1 for x=2.5, y=-1.5. Working required.

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2.6.A Exact solutions of simultaneous linear equations question 1