We are given a pair of linear equations:
4
3
𝑥
+
2
𝑦
=
8
(1)
2
𝑥
+
3
𝑦
=
12
(2)
3
4
x+2y=8(1)
2x+3y=12(2)
We need to check consistency by comparing the ratios:
𝑎
1
𝑎
2
,
𝑏
1
𝑏
2
,
𝑐
1
𝑐
2
a
2
a
1
,
b
2
b
1
,
c
2
c
1
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