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Question

Find the value of x and y using cross multiplication method:
x+2y=8 and 2x3y=2

A
(4, 2)
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B
(-4, 2)
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C
(6, -1)
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D
(4, 1)
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Solution

The correct option is A (4, 2)
x+2y=8 ----- (1)
2x3y=2 ----- (2)
First use formula for cross multiplication method:
xb1c2b2c1=yc1a2a1c2=1a2b2a2b1
So, from equation (1) and (2) we can write the value of a, b and c.
x2×2(3)×8=y8×21×2=11×(3)2×2
x4+24=y162=134
x28=y14=17
x28=17
x=287=4
y14=17
y=147
y=2
The solution is (4, 2)

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