71x+ 37y = 253 37x + …
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Preeti Dabral 2 years, 2 months ago
The given equations are
{tex}71x + 37y = 253{/tex}.........(i)
{tex}37x + 71y = 287{/tex}.........(ii)
Adding (i) and (ii),we get
{tex}108x + 108y = 540{/tex}
{tex}108(x + y) = 540{/tex}
{tex}\therefore x + y = \frac { 540 } { 108 } = 5{/tex}......(iii)
Subtracting (ii) from (i),
{tex}34x - 34y = 253 - 287 = -34{/tex}
{tex}34(x - y) = -34{/tex}
{tex}\therefore x - y = - \frac { 34 } { 34 } = - 1{/tex}....(iv)
Adding (iii) and (iv)
2x = 5 - 1 = 4
{tex}\Rightarrow x = 2{/tex}
Subtracting (iv) from (iii)
2y = 5 + 1 = 6
{tex}\Rightarrow y = 3{/tex}
{tex}\therefore{/tex} Solution is x = 2, y = 3
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