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Use substitution to solve each of the following pairs of simultaneous equations for x and y in terms of m and n.
a) mx + y = n
y = mx

b) x + ny = m
y = nx

c) mx - y = n
y = nx

d) mx - ny = n
y = x

e) mx + y = m
x = y + m/n

Respuesta :

Answer:

Step-by-step explanation:

a)

As given y=mx lets replace mx with y in the first equation

2y=n => y=n/2, replace y with n/2 => mx=n/2, thus x=n/2m

b)

As given y=nx lets replace y with nx in the first equation

x+n^2x=m => x(n^2+1)=m = > x=m/(n^2+1), thus y= n*m/(n^2+1)

c) Replace y with nx => mx-nx=n => x(m-n)=n = > x=n/(m-n), thus y=n^2/(m-n)

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