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Mathematics
Problem
1. Solve the following pair of linear equations by the elimination method and the substitution method: (i)
x
+
y
=
5
x+y=5
x
+
y
=
5
and
2
x
−
3
y
=
4
2 x-3 y=4
2
x
−
3
y
=
4
(ii)
3
x
+
4
y
=
10
3 x+4 y=10
3
x
+
4
y
=
10
and
2
x
−
2
y
=
2
2 x-2 y=2
2
x
−
2
y
=
2
(iii)
3
x
−
5
y
−
4
=
0
3 x-5 y-4=0
3
x
−
5
y
−
4
=
0
and
9
x
=
2
y
+
7
9 x=2 y+7
9
x
=
2
y
+
7
(iv)
x
2
+
2
y
3
=
−
1
\frac{x}{2}+\frac{2 y}{3}=-1
2
x
+
3
2
y
=
−
1
and
x
−
y
3
=
3
x-\frac{y}{3}=3
x
−
3
y
=
3
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