Question

Solution for 3/a+4/b=2,9/a-4/b=2 in elimination method

Answer 1

Explanation:
Given
[1]
XXXX
3
a
+
4
b
=
2

[2]
XXXX
4
a
−
3
b
=
−
14
Multiply [1] by 4 and [2] by 3 to obtain two equations with the same
a
coefficient
[3]
XXXX
12
a
+
16
b
=
8

[4]
XXXX
12
a
−
9
b
=
−
42
Subtract [4] from [3] to clear the
a
term
[5]
XXXX
25b= 50#
Divide both sides by
25

[6]
XXXX
b
=
2
Substitute
b
=
2
into equation [1]
[7]
XXXX
3
a
+
4
(
2
)
=
2
[8]
XXXX
3
a
=
−
6
[9]
XXXX
a
=
−
2