1.

Simultaneous equation solve using Elimination method ​

Answer»

Solve the pair of linear ( simultaneous ) equation by the method of elimination by SUBSTITUTION :

2x + 7Y = 39

3X + 5y = 31

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2x + 7y = 39 ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎... (1)

3x + 5y = 31 ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ... (2)

2x + 7y = 39

:. x = ( \frac{39 — 7y}{2} )

Putting this value of x (2)

3 ( \frac{39 — 7y}{2} ) + 5y = 31

117 — 21y + 10y = 62

— 11y = — 55

y = 5

Form (1) x \frac{39 — 7(5)}{2}

x = \frac{4}{2}

x = 2


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