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IGCSE Math a2.6 Simultaneous linear equationsTopic Practice

2.6 Simultaneous linear equations

Edexcel IGCSE Math a 2.6 Simultaneous linear equations question practice helps you revise this syllabus point with the course map in view. Use this page to focus on one topic, check the style of questions available, and connect each attempt back to the knowledge area it is testing.

EduNinja keeps Math a practice aligned to Edexcel, so you can move from topic review into exam-style question bank work without losing the syllabus structure. Start with a small set, mark the weak steps, then return to nearby topic links when a definition, graph, calculation, or explanation needs repair.

Question 2

Solve the simultaneous equations

5x+y=113x−y=9\begin{aligned} & 5 x+y=11 \\ & 3 x-y=9 \end{aligned}

Show clear algebraic working.

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

Question 3

Solve the simultaneous equations

3x+2y=103x−4y=16\begin{aligned} & 3 x+2 y=10 \\ & 3 x-4 y=16 \end{aligned}

Show clear algebraic working.

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

Question 6

Solve the simultaneous equations

x+2y=154x−6y=4\begin{aligned} x+2 y & =15 \\ 4 x-6 y & =4 \end{aligned}

Show clear algebraic working.

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

Question 8

Solve the simultaneous equations

4x+2y=9x−4y=9\begin{array}{r} 4 x+2 y=9 \\ x-4 y=9 \end{array}

Show clear algebraic working.

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

Question 7

[Maximum number: 3]

Solve the simultaneous equations

5x+4y=−22x−y=4.4\begin{aligned} & 5 x+4 y=-2 \\ & 2 x-y=4.4 \end{aligned}

Show clear algebraic working.

x=y= estion 7 is 3 marks) \begin{gathered} x= \\ y= \\ \text { estion } 7 \text { is } \mathbf{3} \text { marks) } \end{gathered}

Question 7

Solve the simultaneous equations

3x+5y=67x−5y=−11\begin{aligned} & 3 x+5 y=6 \\ & 7 x-5 y=-11 \end{aligned}

Show clear algebraic working.

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

Question 10

Solve the simultaneous equations

7x+3y=33x−y=7\begin{array}{r} 7 x+3 y=3 \\ 3 x-y=7 \end{array}

Show clear algebraic working.

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

Question 8

Solve the simultaneous equations

3x+5y=84x+y=−3.5\begin{aligned} & 3 x+5 y=8 \\ & 4 x+y=-3.5 \end{aligned}

Show clear algebraic working.

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

Question 8

Solve the simultaneous equations

5a+2c=102a−4c=7\begin{aligned} & 5 a+2 c=10 \\ & 2 a-4 c=7 \end{aligned}

Show clear algebraic working.

a=c=\begin{aligned} & a= \\ & c= \end{aligned}

Question 9

Solve the simultaneous equations

4x+5y=42x−y=9\begin{array}{r} 4 x+5 y=4 \\ 2 x-y=9 \end{array}

Show clear algebraic working.

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