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Question

Find the solution of the following pair of equations using cross multiplictaion [2 MARKS]
2x+y=5
3x+2y=8

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Solution

Concept : 1 Mark
Calculation : 1 Mark

Given equations are,

2x+y=52x+y5=0(i)

a1=2,b1=1,c1=5

3x+2y=83x+2y8=0(ii)

a2=3,b2=2,c2=8

x=b1c2b2c1a1b2a2b1

x=[(1)(8)(2)(5)](2)(2)(3)(1)

x=[(8)(10)](4)(3)

x=2

y=c1a2c2a1a1b2a2b1

y=[(5)(3)(8)(2)](2)(2)(3)(1)

y=[(15)(16)](4)(3)

y=1


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