Algebra 1, word problem. if a medium pizza costs $5 and a large pizza is $8, write an equation in standard form that models the possible combinations if you have $45. (let m= medium and l= large.) explain in detail

m = number of medium pizzas; each medium pizza costs $5

5m = cost of m number of medium pizzas

L = number of large pizzas; each large pizza costs $8

8L = cost of L number of large pizzas

The total cost is the sum of the cost of the medium pizzas and the cost of the large pizzas, so the total cost is 5m + 5L.

You have $45, so the total cost of the pizzas must equal $45.

The equation is

5m + 8L = 45

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )