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Simultaneous equations worksheet

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Simultaneous equations
Level 2 · Elimination
Solve the simultaneous equations.
1.
{3x−4y=263x+2y=−4\begin{cases} 3x - 4y = 26 \\ 3x + 2y = -4 \end{cases}
x=x =y=y =
2.
{x−y=−132x+y=−2\begin{cases} x - y = -13 \\ 2x + y = -2 \end{cases}
x=x =y=y =
3.
{−2x−3y=4−4x−3y=−10\begin{cases} -2x - 3y = 4 \\ -4x - 3y = -10 \end{cases}
x=x =y=y =
4.
{−x−3y=−275x−3y=27\begin{cases} -x - 3y = -27 \\ 5x - 3y = 27 \end{cases}
x=x =y=y =
5.
{−x−5y=19−x+2y=−9\begin{cases} -x - 5y = 19 \\ -x + 2y = -9 \end{cases}
x=x =y=y =
6.
{−3x+2y=33x+2y=−27\begin{cases} -3x + 2y = 3 \\ 3x + 2y = -27 \end{cases}
x=x =y=y =
7.
{−4x+3y=−28x−3y=7\begin{cases} -4x + 3y = -28 \\ x - 3y = 7 \end{cases}
x=x =y=y =
8.
{−x+2y=−17−x−2y=3\begin{cases} -x + 2y = -17 \\ -x - 2y = 3 \end{cases}
x=x =y=y =
9.
{−x−3y=8x−3y=16\begin{cases} -x - 3y = 8 \\ x - 3y = 16 \end{cases}
x=x =y=y =
10.
{x−y=6x+y=4\begin{cases} x - y = 6 \\ x + y = 4 \end{cases}
x=x =y=y =
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Answer key
Simultaneous equations · Level 2 · Elimination
1.x=2,;y=−5x = 2,; y = -5
2.x=−5,;y=8x = -5,; y = 8
3.x=7,;y=−6x = 7,; y = -6
4.x=9,;y=6x = 9,; y = 6
5.x=1,;y=−4x = 1,; y = -4
6.x=−5,;y=−6x = -5,; y = -6
7.x=7,;y=0x = 7,; y = 0
8.x=7,;y=−5x = 7,; y = -5
9.x=4,;y=−4x = 4,; y = -4
10.x=5,;y=−1x = 5,; y = -1
The same problems online, checked as you go
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