The average number of students in mathematics club,

language club, sports club and music club is 180 per club.

the average number of students in mathematics club,

language club and sports club is 190 per club. the number of

students in sports club is 10 more than in music club. the

number of students in language club is 2/3 as many as in

music club. what is the number of students in mathematics

club?

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step-by-step explanation:

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.