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Question

Solve the following system of equations by elimination method:

8X-3Y=5XY6X-5Y=-2XYX=Y0.


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Solution

Solve equations by elimination method:

Consider the given equations.

8x3y=5xy........(1)6x5y=2xy........(2)

Now by multiplying the equation (1) by 6 and equation (2) by 8, we get:

48x-18y=30xy......(3)48x40y=-16xy.......(4)

Subtracting equation (4) from equation (3), we obtain

48x-18y-48x-(-40y)=30xy-(-16xy)-18y+40y=30xy+16xy22y=46xyx=2246x=1123

Now, putting this value of x in equation (2), we obtain

61123-5y=-21123y6623-5y=-2223y-5y+2223y=-6623-115y+22y23=-6623-9323y=-6623y=6693=2231

Hence, x=1123 and y=2231 are the solution of given pair of equation.


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