Mathematics 9 (Complete Solutions)

Q7
Find a and b

If
2
 
2 4
-3 a
 
+
3
 
1 b
8 -4
 
=
 
7 10
18 1
 
, then find a and b.

Solution:

2
 
2 4
-3 a
 
+
3
 
1 b
8 -4
 
=
 
7 10
18 1
 
 
2(2) 2(4)
2(-3) 2(a)
 
+
 
3(1) 3(b)
3(8) 3(-4)
 
=
 
7 10
18 1
 
 
4 8
-6 2a
 
+
 
3 3b
24 -12
 
=
 
7 10
18 1
 
 
4+3 8+3b
-6+24 2a-12
 
=
 
7 10
18 1
 
 
7 8+3b
18 2a-12
 
=
 
7 10
18 1
 


8 + 3b = 10         (Corresponding elements are same)
3b = 10 - 8
3b = 2
b =
2
3


2a - 12 = 1         (Corresponding elements are same)
2a = 1 + 12
2a = 13
a =
13
2


Answer
a =
13
2
,
b =
2
3

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