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Substitution Method (i)3x+2y=11 equation (i) 2x+3y=4 …

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Substitution Method (i)3x+2y=11 equation (i) 2x+3y=4 equation (ii)

Posted by Soubhagya Kumar Sahoo 6 years ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years ago

{tex}3x+2y=11{/tex}........(i)
{tex}2x+3y=4{/tex}.......(ii)
Multiplying (i) by 3 and (ii) by 2, we get
{tex}9x+6y=33{/tex}........(iii)
{tex}4x+6y=8{/tex}........(iv)
Subtracting (iv) from (iii), we ge
{tex}5x=25\Rightarrow x=5{/tex}
Substituing x = 5 equation in (i), we get
{tex}3(5)+2y=11\Rightarrow15+2y=11\Rightarrow 2y=-4 \Rightarrow y=-2{/tex}
Hence, the solution of the given system of equations is x = 5, y = -2

2Thank You

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