Simultaneous equations worksheet

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Simultaneous equations

Level 1 · Substitution

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Solve the simultaneous equations.

1.

\begin{cases} y = 5x \\ x + y = 6 \end{cases}

x =

y =

2.

\begin{cases} y = 4x \\ x + y = 30 \end{cases}

x =

y =

3.

\begin{cases} y = 2x \\ x + y = 12 \end{cases}

x =

y =

4.

\begin{cases} y = 3x \\ x + y = 12 \end{cases}

x =

y =

5.

\begin{cases} y = x + 3 \\ 5x + y = 33 \end{cases}

x =

y =

6.

\begin{cases} y = x + 1 \\ 5x + y = 49 \end{cases}

x =

y =

7.

\begin{cases} y = x + 6 \\ 3x + y = 30 \end{cases}

x =

y =

8.

\begin{cases} x = y + 3 \\ x + y = 17 \end{cases}

x =

y =

9.

\begin{cases} x = y + 8 \\ x + y = 24 \end{cases}

x =

y =

10.

\begin{cases} x = y + 7 \\ x + y = 19 \end{cases}

x =

y =

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Answer key

Simultaneous equations · Level 1 · Substitution

1.

x = 1,; y = 5

2.

x = 6,; y = 24

3.

x = 4,; y = 8

4.

x = 3,; y = 9

5.

x = 5,; y = 8

6.

x = 8,; y = 9

7.

x = 6,; y = 12

8.

x = 10,; y = 7

9.

x = 16,; y = 8

10.

x = 13,; y = 6

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