CPM Homework Help : INT3 Problem 7-119

Solve for $x, y$ , and $z$ : $(2^x)(3^y)(5^z) = (2^3)(3^{x–2})(5^{2x–3y})$

Step:

Make a system of equations using the exponents.

$x = 3$
$y = x − 2$
$z = 2x − 3y$

Hint:

The system of equations gives you the value of $x$ . Substitute the value of $x$ into the second and third equations.
From there, solve as if there were only two equations.