New questions
Given
that the lines bx = ay + 1 and
b - ay - x = 0
intersect at the point (5, -3), what are the values
of a and b?
A carpenter is paid a normal rate
of $x per hour and an overtime rate of $y per hour. If he works for
21 h at the normal rate of pay and 9 h at the overtime rate, he
will be paid $69. However, if he works for
27 h at the normal rate and 3 h at the overtime rate, his earnings
will be $63.
a) Form
two equations in x and y and show that one of the equations reduces
to 7x + 3y = 23
b) Solve
the two simultaneous equations for the value of x and of
y.