Let
x---------------> first number
y--------------> second number
we know that
x-y=2-------------> x=2+y-----------------> equation 1
x*y=41.25------------------> equation 2
substituting 1 in 2
(2+y)*y=41.25-------> y²+2y-41.25=0
using a graph tool----------> to resolve the quadratic equation
see the attached figure
the solution is
y=5.5
x=2+y---------> x=2+5.5---------> x=7.5
Part a)<span>Write an equation representing the product.
the answer Part a) is
</span>x*y=41.25
<span>
Part b) Find the two numbers</span>
the answer Part b) is
the numbers are 7.5 and 5.5
x---------------> first number
y--------------> second number
we know that
x-y=2-------------> x=2+y-----------------> equation 1
x*y=41.25------------------> equation 2
substituting 1 in 2
(2+y)*y=41.25-------> y²+2y-41.25=0
using a graph tool----------> to resolve the quadratic equation
see the attached figure
the solution is
y=5.5
x=2+y---------> x=2+5.5---------> x=7.5
Part a)<span>Write an equation representing the product.
the answer Part a) is
</span>x*y=41.25
<span>
Part b) Find the two numbers</span>
the answer Part b) is
the numbers are 7.5 and 5.5