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Simultaneous equations worksheet

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Simultaneous equations
Level 3 · Any coefficients
Solve the simultaneous equations.
1.
{−5x−4y=−3−2x−2y=−4\begin{cases} -5x - 4y = -3 \\ -2x - 2y = -4 \end{cases}
x=x =y=y =
2.
{3x−7y=−13−7x−2y=67\begin{cases} 3x - 7y = -13 \\ -7x - 2y = 67 \end{cases}
x=x =y=y =
3.
{−x−7y=567x+4y=13\begin{cases} -x - 7y = 56 \\ 7x + 4y = 13 \end{cases}
x=x =y=y =
4.
{−7x−7y=42−3x−6y=24\begin{cases} -7x - 7y = 42 \\ -3x - 6y = 24 \end{cases}
x=x =y=y =
5.
{−2x−2y=106x+7y=−29\begin{cases} -2x - 2y = 10 \\ 6x + 7y = -29 \end{cases}
x=x =y=y =
6.
{4x+2y=46−6x−4y=−78\begin{cases} 4x + 2y = 46 \\ -6x - 4y = -78 \end{cases}
x=x =y=y =
7.
{4x+3y=12x−6y=68\begin{cases} 4x + 3y = 1 \\ 2x - 6y = 68 \end{cases}
x=x =y=y =
8.
{5x−6y=61−2x−y=−4\begin{cases} 5x - 6y = 61 \\ -2x - y = -4 \end{cases}
x=x =y=y =
9.
{6x−2y=−27x−4y=−9\begin{cases} 6x - 2y = -2 \\ 7x - 4y = -9 \end{cases}
x=x =y=y =
10.
{4x−y=−39−7x+5y=78\begin{cases} 4x - y = -39 \\ -7x + 5y = 78 \end{cases}
x=x =y=y =
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Answer key
Simultaneous equations · Level 3 · Any coefficients
1.x=−5,;y=7x = -5,; y = 7
2.x=−9,;y=−2x = -9,; y = -2
3.x=7,;y=−9x = 7,; y = -9
4.x=−4,;y=−2x = -4,; y = -2
5.x=−6,;y=1x = -6,; y = 1
6.x=7,;y=9x = 7,; y = 9
7.x=7,;y=−9x = 7,; y = -9
8.x=5,;y=−6x = 5,; y = -6
9.x=1,;y=4x = 1,; y = 4
10.x=−9,;y=3x = -9,; y = 3
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