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

$\begin{aligned} 3x+5y&=8\\ 4x+y&=-3.5 \end{aligned}$

Show clear algebraic working.

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

$\begin{aligned} 3x+5y&=8\\ 20x+5y&=-17.5 \end{aligned}$

Subtract:
-17x=-25.5x=-1.5

Substitute:
y=2.5

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

Working required.

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2.6.A Exact solutions of simultaneous linear equations question 1