Sole the following by cross multiplication method . 2x+3y=4,3x-y=-5
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Answer:
3x+2y=10---(1)
4x−2y=4---(2)
Using formula for cross multiplication method:
(b
1
c
2
−b
2
c
1
)
x
=
(c
1
a
2
−a
1
c
2
)
y
=
(a
1
b
2
−a
2
b
1
)
−1
So, from equation (1) and (2) we can write the value of a,b and c.
2×4−(−2)×10
x
=
10×4−3×4
y
=
3×(−2)−4×2
−1
8+20
x
=
40−12
y
=
−6−8
−1
28
x
=
28
y
=
−14
−1
28
x
=
−14
−1
−14x=−28
x=2
28
y
=
−14
−1
−14y=−28
y=2
Therefore, x=2,y=2
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