For me to solve the system of equations for the total cost of lawn care using the tequnique substitution am I right to say:
c=$200+$50h
c=$300+$25h
would be
c=$250
c=$325
To solve the system of equations using the substitution method, you need to follow these steps:
Step 1: Start with one of the equations and solve it for one variable in terms of the other variable.
In this case, let's start with the first equation:
c = $200 + $50h
Step 2: Substitute the expression you found for the variable in the other equation.
Substitute the expression for 'c' in the second equation:
($200 + $50h) = $300 + $25h
Step 3: Solve the equation for the remaining variable.
Let's solve for 'h' by simplifying the equation:
$50h - $25h = $300 - $200
$25h = $100
h = $100 / $25
h = 4
Step 4: Substitute the value of the variable you found back into one of the original equations to solve for the other variable.
Substitute the value of 'h' in the first equation:
c = $200 + $50(4)
c = $200 + $200
c = $400
So, the solution to the system of equations is:
c = $400
h = 4