x+y=2b
x-y=2a
solve in methood of cross- multiplication
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Sol. The given system of equations is
2x + 3y + 8 = 0
4x + 5y + 14 = 0
By cross-multiplication, we get
Cross Multiplication Method For Solving Equations 1A
⇒x3×14−5×8=x3×14−5×8=12×5−4×3
⇒x42−40=−y28−32=110−12
⇒x2=−y−4=1−2
⇒x2 = −12
⇒ x = – 1
⇒−y−4 = −12
⇒ y = – 2
Hence, the solution is x = – 1, y = – 2
We can verify the solution.
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