Question

slove x+y =5 and 2x-3y=4 by the substitution method​

Answer 1

Question

Slove x+y =5 and 2x-3y=4 by the substitution method.

Answer

x+y=5 ------(1). (given)

and

2x-3y=4 ---------(2). (given)

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In eq.(1),

x+y=5

x=5-y--------(3)

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Substituting eq.(3) in eq.(2), we get,

= 2(5-y)-3y=4

= 10-2y-3y=4

= -5y=4-10

= -5y = -6

= y = (6/5)

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Subtsituting value of y in eq.(1), we get,

= x + (6/5) = 5

= x = 5-(6/5)

= x = (19/5)

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Therefore, x = (19/5) and y = (6/5).