-
=
Multiply both sides by 8 to get t out of the fraction
t -
=
Simplify the numerators
t -
=
Divide the fractions
t - 6 = 4
Add 6 to both sides
t = 10
The third option has like terms as they can be added based on the term. For example numbers with x, x^2, x^3 etc can be added together. For example x+x can be added but x+x^2 can’t. They have different terms that make them different.
Let x = cost of one cheese pizza.
Let y = cost of one pepperoni pizza.
Set up a system of equations.
6x + 7y = 153.50
2x + 2y = 47.00.
Multiply the second equation by -3
6x + 7y = 153.50
-6x - 6y = -141.00.
Add the equations together
y = $12.00.
Plug 12 into one of our original equations.
2x + 2(12) = 47.
Simplify the left side.
2x + 24 = 47.
Subtract 24 from each side.
2x = 23.
Divide each side by 2
x = $11.50
In conclusion, one pepperoni pizza costs $12.00
