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

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)

i dont know sorry

step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm