Question

Solve algebraically:
xy=8
y-1=x^2 -x

Answer 1

So you can solve for y in the second equation, then take that expression and plug it in for y in the other equation

solving for y

y=x^2-x+1

take x^2-x+1 and plug it into other equation where y is

x(x^2-x+1)=8

now you have an equation with only one variable