Question

An employee has two hourly wage options for positions in a large corporation. One position pays $11.00 plus additional unit rate of $0.50 unit produced. The other pays $7.25 plus a unit rate of $1.25.

W(x)=11+0.5x
M(x)=7.25+1.25x
I need to find the solution for the systems by either using substitution or combination/elimination

Answer 1

try making both equations equal to each other W(x)=M(x) and simplify

Answer 2

You mean where is the breakeven point where the two jobs pay equally?
let W = M and substitute
11 + .5 x = 7.25 + 1.25 x
3.75 = .75 x
x = 5 units
the M = W = 11 + 2.5 = $13.5