Is there a way to calculate algebraic equations in Excel?

I have the equation:

50a+100b=60 and

100a+50b=45

I know how to solve these by hand, but is there a way to solve them in

Excel?

First Equation

=============

Put the coefficient of 'a' in A1, the coefficient of 'b' in B1 and the

constant in C1

Second Equation

=============

Put the coefficient of 'a' in A2, the coefficient of 'b' in B3 and the

constant in C2

Solution for 'a'

=============

A4: =(B2*C1-B1*C2)/(A1*B2-A2*B1)

Solution for 'b'

=============

A5: =(C1-A4*A1)/B1

Notice the dependency in A5's calculation on the cell A4 (in case you decide

to move the solution cell for 'b' to some other location).

Rick