2x + 3y =17
3x -2y =6
find using the method of cross multiplication
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Answer:
ANSWER
3x+5y=17 ----- (1)
2x+y=9 ----- (2)
First use formula for cross multiplication method:
b
1
c
2
−b
2
c
1
x
=
c
1
a
2
−a
1
c
2
y
=
a
2
b
2
−a
2
b
1
−1
So, from equation (1) and (2), we can write the value of a, b and c.
Thus
5×9−1×17
x
=
17×2−3×9
y
=
3×1−2×5
−1
⇒
45−17
x
=
34−27
y
=
3−10
−1
⇒
28
x
=
7
y
=
−7
−1
⇒
28
x
=
−7
−1
⇒x=
−7
−28
=4
⇒
7
y
=
−7
−1
⇒y=
−7
−7
=1
The solution is(4,1
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