Simultaneous equations worksheet

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Simultaneous equations

Level 1 · Substitution

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Solve the simultaneous equations.

1.

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

x =

y =

2.

\begin{cases} y = 2x \\ x + y = 15 \end{cases}

x =

y =

3.

\begin{cases} y = 2x \\ x + y = 21 \end{cases}

x =

y =

4.

\begin{cases} y = 3x \\ x + y = 36 \end{cases}

x =

y =

5.

\begin{cases} y = x + 8 \\ 2x + y = 11 \end{cases}

x =

y =

6.

\begin{cases} y = x + 4 \\ 2x + y = 22 \end{cases}

x =

y =

7.

\begin{cases} y = x + 8 \\ 4x + y = 13 \end{cases}

x =

y =

8.

\begin{cases} x = y + 6 \\ x + y = 18 \end{cases}

x =

y =

9.

\begin{cases} x = y + 6 \\ x + y = 22 \end{cases}

x =

y =

10.

\begin{cases} x = y + 2 \\ x + y = 6 \end{cases}

x =

y =

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Answer key

Simultaneous equations · Level 1 · Substitution

1.

x = 6,; y = 24

2.

x = 5,; y = 10

3.

x = 7,; y = 14

4.

x = 9,; y = 27

5.

x = 1,; y = 9

6.

x = 6,; y = 10

7.

x = 1,; y = 9

8.

x = 12,; y = 6

9.

x = 14,; y = 8

10.

x = 4,; y = 2

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