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Simultaneous Equations- Elimination - Questions

Question 1
15576

Solve the following simultaneous equations using elimination method

\(x + 2y = 15\)

\(3x - 5y = 1\)

\(x = 7,\,\,\,y = 4\)

Question 2
15577

Solve the following simultaneous equations using elimination method

\(9x - 15y = 12\)

\(y + 5 = 2x\)

\(x = 3,\,\,\,y = 1\)

Question 3
15578

Solve the following simultaneous equations using elimination method

\(x - y + 3 = 0\)

\(11x - 6y - 2 = 0\)

\(x = 4,\,\,\,y = 7\)

Question 4
15580

Solve the following simultaneous equations using elimination method

\(2x + 3y = 10\)

\(5x - 3y = 4\)

\(x = 2,\,\,\,y = 2\)

Question 5
15582

Solve the following simultaneous equations using elimination method

\(4x + 3y = 175\)

\(x - y + 50 = 0\)

\(x = \dfrac{{25}}{7},\,\,\,y = \dfrac{{375}}{7}\)

Question 6
49339

Solve simultaneously
\(\begin{aligned}
5x-y&=4 \\
2x+y&=10 \\
\end{aligned}\)

\(x=2, y=6\)

Question 7
49340

Solve simultaneously
\(\begin{aligned}
3x-2 y&=7 \\
3x+2 y&=-1
\end{aligned}\)

\(x=1, y=-2\)

Question 8
49341

Solve simultaneously
\(\begin{aligned}
-5 x+3y &=7 \\
5 x+8y &=-29
\end{aligned}\)

\(x=-2.6, y=-2\)

Question 9
49342

Solve simultaneously
\(\begin{aligned}
4 x+3 y &=-11 \\
-4 x-2 y &=6
\end{aligned}\)

\(x=1, y=-5\)

Question 10
49343

Solve simultaneously
\(\begin{aligned}
3 x+2 y&=7 \\
x+3 y&=7
\end{aligned}\)

\(x=1, y=2\)

Question 11
49344

Solve simultaneously
\(\begin{aligned}
5 x-2 y&=17 \\
3 x-y&=9
\end{aligned}\)

\(x=1, y=-6\)

\begin{align}
&\begin{aligned}
5x-2 y&=17 \ldots (1) \\
3x-y&=9 \ldots (2) \\
2 \times(2)\quad 6 x-2 y&=18 \ldots (3) \\
5x-2y&=17 \ldots (1)
\end{aligned}\\
&\text {(3) -(1)} \quad x=1 \\
&\begin{aligned}
\text {In (2)}\quad  3 \times 1-y&=9 \\
3-y&=9 \\
-y&=6 \\
y&=-6
\end{aligned}
\end{align}

Question 12
49345

Solve simultaneously
\(\begin{aligned}
2 x+3 y&=13 \\
3 x+2 y&=17
\end{aligned}\)

\(x=5, y=1\)

Question 13
49346

Solve simultaneously
\(\begin{aligned}
2x+5 y&=14 \\
5x-3 y&=-27
\end{aligned}\)

\(x=-3, y=4\)