Consider the simultaneous equations
mx + 2y = 8
4x - (2-m)y = 2m
a) Find the values of m for which there are:
i) no solutions
ii) infinitely many solutions
please explain how to do this, i am very confused, thank you.
answer:
i) m = -2
ii) m = 4
Consider the simultaneous equations
mx + 2y = 8
4x - (2-m)y = 2m
a) Find the values of m for which there are:
i) no solutions
ii) infinitely many solutions
please explain how to do this, i am very confused, thank you.
answer:
i) m = -2
ii) m = 4
You can turn these equations into the form giving
and
Now equating coeffecients of x you solve for
Cross multiplying
solving the quadratic gives
So which one gives no solutions and which infinitely many solutions?
The hint here is where the constant term in each equation is equal, this will yield infinitely many solutions